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Homogeneous Spaces and Equivariant Embeddings
ISBN: 9783642183980 / Angielski / Twarda / 254 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification... Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enu... |
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563,56 |
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Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory
ISBN: 9789814343343 / Angielski / Twarda / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a compact set, implying special and general relativity. With this model in mind, a general Quantum Theory is developed and shown to fit with the classical theory. In particular the...
This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative def...
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344,90 |
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Degeneration of Abelian Varieties
ISBN: 9783642080883 / Angielski / Miękka / 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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563,56 |
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Ramanujan's Lost Notebook: Part II
ISBN: 9781441926661 / Angielski / Miękka / 420 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the second of approximately four volumes that the authors plan to write in their examination of all the claims made by S. Ramanujan in The Lost Notebook and Other Unpublished Papers. This volume, published by Narosa in 1988, contains the Lost Notebook, which was discovered by the ?rst author in the spring of 1976 at the library of Trinity College, Cambridge. Also included in this publication are other partial manuscripts, fragments, and letters that Ramanujan wrote to G. H. Hardy from nursing homes during 1917 1919. The authors have attempted to organize this disparate material in...
This is the second of approximately four volumes that the authors plan to write in their examination of all the claims made by S. Ramanujan in The Los...
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cena:
402,53 |
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Linear Geometry
ISBN: 9781441928061 / Angielski / Miękka / 199 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe- matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic...
This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject...
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322,01 |
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Algebraic Geometry
ISBN: 9781441928078 / Angielski / Miękka / 496 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra.
Robin Hartshorne studied algebraic geometry with Oscar Zariski... An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and so...
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201,24 |
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Geometry of Algebraic Curves: Volume I
ISBN: 9781441928252 / Angielski / Miękka / 387 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a...
In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general tec...
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cena:
362,27 |
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Elliptic Curves
ISBN: 9781441930255 / Angielski / Miękka / 490 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There are three new appendices, one by Stefan Theisen on the role of Calabi- Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. In these three introductions the reader can get a clue to the far-reaching implications of the theory of elliptic curves in mathematical sciences. During the ?nal production of this edition, the ICM 2002 manuscript of Mike Hopkins became available. This report outlines the role of elliptic curves in ho- topy theory....
There are three new appendices, one by Stefan Theisen on the role of Calabi- Yau manifolds in string theory and one by Otto Forster on the use of elli...
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cena:
261,63 |
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Software for Algebraic Geometry
ISBN: 9781441926753 / Angielski / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and applications. Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continuously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter... Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of com... |
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402,53 |
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Algebraic Geometry: A First Course
ISBN: 9781441930996 / Angielski / Miękka / 330 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the...
This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title sugg...
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261,63 |
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Rational Points on Elliptic Curves
ISBN: 9781441931016 / Angielski / Miękka / 281 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "Rational Points on Cubic Curves. " These lectures, intended for junior and senior mathematics majors, were recorded, tran- scribed, and printed in mimeograph form. Since that time they have been widely distributed as photocopies of ever decreasing legibility, and por- tions have appeared in various textbooks (Husemoller 1], Chahal 1]), but they have never appeared in their entirety. In view of the recent inter- est in the theory of elliptic curves for subjects ranging from cryptogra- phy...
In 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "Rational Points on Cubic Curves. " These lectures,...
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160,99 |
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Introduction to the Mori Program
ISBN: 9781441931252 / Angielski / Miękka / 478 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of higher dimensional algebraic varieties. The author presents this theory in an easy and understandable way with lots of background motivation. Prerequisites are those covered in Hartshorne's book "Algebraic Geometry." This is the first book in this extremely important and active field of research and will become a key resource for graduate students wanting to get into the area.
Mori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of high...
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261,63 |
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The Geometry Toolbox for Graphics and Modeling
ISBN: 9781568810744 / Angielski / Twarda / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A visual approach to teaching the basic concepts of two- and three-dimensional geometry. The text covers all major geometric concepts: points and vectors; lines and planes; maps and matrices; and conics and curves. Information on a dedicated web site, and others of interest, is given.
A visual approach to teaching the basic concepts of two- and three-dimensional geometry. The text covers all major geometric concepts: points and vect...
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cena:
874,41 |
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Ramanujan's Lost Notebook: Part I
ISBN: 9781441920621 / Angielski / Miękka / 438 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life.... In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of ... |
cena:
523,30 |
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Complex Abelian Varieties
ISBN: 9783642058073 / Angielski / Miękka / 638 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language. The second edition adds five chapters on recent results including automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture. ." . . far more readable than most . . . it is also much more complete." Olivier Debarre in Mathematical Reviews, 1994. This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language... |
cena:
603,81 |
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Generalizations of Thomae's Formula for Zn Curves
ISBN: 9781441978462 / Angielski / Twarda / 354 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results demonstrating how they can be derived directly from the basic properties of theta functions as functions on compact Riemann surfaces.
"Generalizations of Thomae's Formula for Zn Curves" includes several refocused proofs developed in a generalized context that is more accessible to researchers in... Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in math... |
cena:
402,53 |
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Real Algebraic Geometry
ISBN: 9783642084294 / Angielski / Miękka / 430 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present volume is a translation, revision and updating of our book (pub lished in French) with the title "Geometrie Algebrique Reelle." Since its pub lication in 1987 the theory has made advances in several directions. There have also been new insights into material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original. We wish to thank Michael Buchner for his careful reading of the text and for his linguistic corrections and stylistic...
The present volume is a translation, revision and updating of our book (pub lished in French) with the title "Geometrie Algebrique Reelle." Since its ...
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cena:
724,58 |
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Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 9783642083518 / Angielski / Miękka / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety. The degrees of freedom of a moving point on the variety is the dimension of the variety. A one-dimensional variety is a curve and a two-dimensional variety is a surface. A three-dimensional variety may be called asolid. Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater than one. Points of multiplicity two are double points, points of multiplicity three are tripie points, and so on. A nodal point of a...
The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety. The degrees of freedo...
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402,53 |
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Rational Curves on Algebraic Varieties
ISBN: 9783642082191 / Angielski / Miękka / 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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724,58 |
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Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform
ISBN: 9783642074721 / Angielski / Miękka / 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:
724,58 |
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