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A Study in Derived Algebraic Geometry: Volume I: Correspondences and Duality
ISBN: 9781470452841 Termin realizacji zamówienia: ok. 5-8 dni roboczych. Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of ind-coherent sheaves in the context of derived algebraic geometry. Ind-coherent sheaves are a "renormalization" of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory. This volume consists of three parts and an appendix. The first part is a...
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics,...
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cena:
627,90 zł |
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FOUNDATIONS OF GEOMETRY
ISBN: 9781487585570 / Miękka Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
103,69 zł |
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Periods of Quaternionic Shimura Varieties. I.
ISBN: 9781470448943 Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of $L$-functions and constructing geometric realizations of...
This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura'...
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cena:
589,68 zł |
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The Cremona Group and Its Subgroups
ISBN: 9781470460129 Termin realizacji zamówienia: ok. 5-8 dni roboczych. The goal of this book is to present a portrait of the $n$-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts. This space plays a fundamental role in the study of Cremona groups, as it allows one to apply tools from geometric group theory to explore properties of the subgroups of the Cremona group as well as the degree growth and dynamical behavior of birational transformations. The book describes natural topologies on the...
The goal of this book is to present a portrait of the $n$-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some c...
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cena:
606,06 zł |
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Essentials of Tropical Combinatorics
ISBN: 9781470467418 Termin realizacji zamówienia: ok. 5-8 dni roboczych. The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between these two subject areas is fruitful in two ways. Through tropical geometry optimization algorithms become applicable to questions in algebraic geometry. Conversely, looking at topics in optimization through the tropical geometry lens adds an additional layer of structure. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational...
The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between t...
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cena:
414,96 zł |
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A Concise Introduction to Algebraic Varieties
ISBN: 9781470466657 Termin realizacji zamówienia: ok. 5-8 dni roboczych. A Concise Introduction to Algebraic Varieties is designed for a one-term introductory course on algebraic varieties over an algebraically closed field, and it provides a solid basis for a course on schemes and cohomology or on specialized topics, such as toric varieties and moduli spaces of curves. The book balances generality and accessibility by presenting local and global concepts, such as nonsingularity, normality, and completeness using the language of atlases, an approach that is most commonly associated with differential topology. The book concludes with a discussion of the...
A Concise Introduction to Algebraic Varieties is designed for a one-term introductory course on algebraic varieties over an algebraically closed field...
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cena:
414,96 zł |
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Complex Algebraic Threefolds
ISBN: 9781108844239 / Twarda / 502 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
350,23 zł |
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Feynman Integrals
ISBN: 9783030995607 / Miękka / 857 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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325,42 zł |
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Geometric Invariant Theory
ISBN: 9783540569633 / Twarda / 294 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspects of classical theory of polynomial invariants. This new, revised edition is completely updated and enlarged with an additional chapter on the moment map by Professor Frances Kirwan. It includes a fully updated bibliography of work in this area. This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspect... |
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689,15 zł |
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Lecture Notes on Local Rings
ISBN: 9789814603652 / Twarda / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture....
The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a uniq...
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cena:
207,48 zł |
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Noncommutative Geometry
ISBN: 9780121858605 / Angielski / Twarda / 661 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields.
This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, ...
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cena:
268,54 zł |
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Hyperbolic Menifolds and Kleinian Groups
ISBN: 9780198500629 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Mobius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis. After 1960, Ahlfors and Bers produced important work which helped make Kleinian groups an active area of complex analysis as a branch of Teichmuller theory. Later, Thurston brought about a revolution in the field with his profound investigation of hyperbolic manifolds, and Sullivan...
A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Mobius transformations in...
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cena:
939,96 zł |
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Algebraic Geometry and Arithmetic Curves
ISBN: 9780198502845 / Angielski / Twarda / 592 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its...
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebr...
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cena:
767,97 zł |
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Compact Manifolds with Special Holonomy
ISBN: 9780198506010 / Angielski / Twarda / 448 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkahler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of...
The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conje...
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cena:
878,54 zł |
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Geometry: Ancient and Modern
ISBN: 9780198507581 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number of exercises woven into the exposition. Topics covered include: ruler and compass constructions; transformations; triangle and circle theorems; classification of isometries and groups of isometries in dimensions 2 and Platonic solids; conics; similarities; affine; projective and Mobius transformations; non-Euclidean geometry; projective...
This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle p...
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cena:
976,82 zł |
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Geometry: Ancient and Modern
ISBN: 9780198508250 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number of exercises woven into the exposition. Topics covered include: ruler and compass constructions; transformations; triangle and circle theorems; classification of isometries and groups of isometries in dimensions 2 and Platonic solids; conics; similarities; affine; projective and Mobius transformations; non-Euclidean geometry; projective...
This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle p...
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cena:
266,74 zł |
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Complex Analysis and Geometry
ISBN: 9780306441790 / Angielski / Twarda / 412 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. When we studied complex variables in the late 1960s, modem geometry on the complex fie1d and complex function theory were identified in teaching and research as several complex variables. A beginner in the field at that time would have the experience of jumping from the sheaf-theoretical methods employed in the theory of analytic spaces to the P.D.E. methods of the a problem, with the c1ear understanding that the phenomena lying behind such different methods and problems were the same. A few years later, new important discoveries made c1ear that complex differential geometry was also in the...
When we studied complex variables in the late 1960s, modem geometry on the complex fie1d and complex function theory were identified in teaching and r...
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cena:
574,29 zł |
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Groups - Modular Mathematics Series
ISBN: 9780340610459 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.
This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures ar...
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cena:
202,24 zł |
![Convex Polytopes Branko Grunbaum Branko Gr]nbaum G]nter M. Ziegler 9780387004242 Springer](/9780387004242_convex_polytopes.jpg "Convex Polytopes") |
Convex Polytopes
ISBN: 9780387004242 / Angielski / Twarda / 471 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "The original edition ...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." --Peter McMullen, University College London
"The original edition ...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subs... |
cena:
344,56 zł |
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Using Algebraic Geometry
ISBN: 9780387207339 / Angielski / Miękka / 575 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more...
In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computer...
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cena:
287,12 zł |
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