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Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform
ISBN: 9783540414575 / Angielski / Twarda / 375 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book the authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II." The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In...
In this book the authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La c...
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cena:
690,75 zł |
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Monomialization of Morphisms from 3-Folds to Surfaces
ISBN: 9783540437802 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequences of blowups of nonsingular subvarieties of X and S.
The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students. A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monom...
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cena:
153,32 zł |
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Degeneration of Abelian Varieties
ISBN: 9783540520153 / Angielski / Twarda / 318 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties. These compactifications have applications to diophantine problems and, of course, are also interesting in their own right. Degenerations of abelian varieties are given by maps G - S with S an irre ducible scheme and G a group variety whose generic fibre is an abelian variety. One would like to classify such objects, which, however, is a hopeless task in this generality. But for more specialized families we can obtain...
The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spac...
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cena:
537,24 zł |
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Lie Groups and Lie Algebras III: Structure of Lie Groups and Lie Algebras
ISBN: 9783540546832 / Angielski / Twarda / 250 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book contains a comprehensive account of the structure and classification of Lie groups and finite-dimensional Lie algebras (including semisimple, solvable, and of general type). In particular, a modern approach to the description of automorphisms and gradings of semisimple Lie algebras is given. A special chapter is devoted to models of the exceptional Lie algebras. The book contains many tables and will serve as a reference. At the same time many results are accompanied by short proofs. Onishchik and Vinberg are internationally known specialists in their field and well-known for their...
The book contains a comprehensive account of the structure and classification of Lie groups and finite-dimensional Lie algebras (including semisimple,...
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cena:
537,24 zł |
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Arrangements of Hyperplanes
ISBN: 9783540552598 / Angielski / Twarda / 325 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged independently as important objects in various fields of mathematics such as combinatorics, braids, configuration spaces, representation theory, reflection groups, singularity theory, and in computer science and physics. This book is the first comprehensivestudy of the subject. It treats arrangements with methods from combinatorics, algebra, algebraic geometry, topology, and group actions. It emphasizes general techniques which illuminate the...
An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerg...
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cena:
498,87 zł |
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Algebraic Cycles and Hodge Theory: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Torino, Italy,
ISBN: 9783540586920 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make ...
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cena:
211,04 zł |
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Rational Curves on Algebraic Varieties
ISBN: 9783540601685 / Angielski / Twarda / 321 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on varieties. The main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them. This Ergebnisse volume provides the first systematic introduction to this field of study. The book contains a large number of examples and exercises which serve to illustrate the range of the methods and also lead to many open questions of current research.
The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curve...
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cena:
690,75 zł |
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Number Theory III: Diophantine Geometry
ISBN: 9783540612230 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational numbers, or various generalizations, such as finitely generated rings over Z or finitely generated fields over Q. The word Geometry is tacked on to suggest geometric methods. This means that the present volume is not elementary. For a survey of some basic problems with a much more elementary approach, see La 9Oc]. The field of diophantine...
In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the vol...
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cena:
383,73 zł |
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The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and Their Jacobians
ISBN: 9783540632931 / Angielski / Miękka / 314 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduate students or mathematicians in other fields wishing to learn quickly what algebraic geometry is all about.
This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to... Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geom...
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cena:
249,42 zł |
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Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes
ISBN: 9783540637059 / Angielski / Miękka / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I. Danilov, discusses algebraic varieties and schemes. ... I can recommend the book as a very good introduction to the basic algebraic geometry." European Mathematical Society Newsletter, 1996
..". To sum up, this book helps to... From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebr...
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cena:
690,75 zł |
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Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 9783540637196 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra. In addition, it gives a short proof of analytic desingularization in characteristic zero for any dimension found in 1996 and based on a new avatar of an algorithmic trick employed in the original edition of the book. This new edition will inspire further progress in resolution of singularities of algebraic and...
This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characterist...
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cena:
383,73 zł |
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Moduli of Supersingular Abelian Varieties
ISBN: 9783540639237 / Angielski / Miękka / 116 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Ag.g/4U, and we express...
Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful too...
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cena:
114,94 zł |
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Representations of Fundamental Groups of Algebraic Varieties
ISBN: 9783540663126 / Angielski / Miękka / 135 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties. The reader should have a basic knowledge of algebraic geometry and non-linear analysis. This book can form the basis for graduate level seminars in the area of topology of algebraic varieties. It also contains present new techniques for researchers working in this area.
Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental grou...
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cena:
134,13 zł |
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Arithmetic Theory of Elliptic Curves: Lectures Given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)Held in Cetaro, Italy
ISBN: 9783540665465 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.
This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from ...
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cena:
191,85 zł |
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Geometry and Topology of Configuration Spaces
ISBN: 9783540666691 / Angielski / Twarda / 313 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. With applications in mind, this self-contained monograph provides a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres, making the subject accessible to researchers and graduates with a minimal background in classical homotopy theory and algebraic topology. With applications in mind, this self-contained monograph provides a coherent and thorough treatment of the configuration spaces of Euclidean spaces... |
cena:
383,73 zł |
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Power Sums, Gorenstein Algebras, and Determinantal Loci
ISBN: 9783540667667 / Angielski / Miękka / 354 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring's problem. Then the author's recent work is presented mainly on the representation of forms in three or more variables as sums of powers of relatively few linear forms. The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of...
This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, ...
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cena:
230,22 zł |
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Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures
ISBN: 9783540679875 / Angielski / Miękka / 122 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal structures. This book is accessible to readers with basic knowledge in differential geometry and global analysis. It addresses graduates and researchers.
This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures,...
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cena:
134,13 zł |
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Proper Group Actions and the Baum-Connes Conjecture
ISBN: 9783764304089 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C DEGREES*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C DEGREES*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions... A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the r... |
cena:
126,45 zł |
![Topology of Singular Spaces and Constructible Sheaves Jvrg Sch]rmann Jorg Schurmann Joe Schurmann 9783764321895 Birkhauser](/9783764321895_topology_of_singular_spaces_and_constructible_sheaves.jpg "Topology of Singular Spaces and Constructible Sheaves") |
Topology of Singular Spaces and Constructible Sheaves
ISBN: 9783764321895 / Angielski / Twarda / 454 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related to many kinds of singular spaces, such as cell complexes, triangulated spaces, semialgebraic and subanalytic sets, complex algebraic or analytic sets, stratified spaces, and quotient spaces. The relation to the underlying geometrical ideas are worked out in detail, together with many applications to the topology of such spaces. All chapters have their own detailed introduction, containing the main results and definitions, illustrated in simple... Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related... |
cena:
383,73 zł |
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Geometry of Higher Dimensional Algebraic Varieties
ISBN: 9783764354909 / Angielski / Miękka / 218 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more...
This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. ...
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cena:
114,94 zł |
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