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Frobenius Algebras and 2D Topological Quantum Field Theories
ISBN: 9780521540315 / Angielski / Miękka / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into a more general pattern. Throughout the text emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. Includes numerous exercises and examples.
Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into ...
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cena:
269,24 zł |
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Spinning Tops: A Course on Integrable Systems
ISBN: 9780521561297 / Angielski / Twarda / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. Many mathematicians have established a modern view of the role played by algebraic geometry in recent years. This book presents some of these modern techniques, which fall within the orbit of finite dimensional integrable systems. The main body of the text presents a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics, while in appendices the author describes general, abstract...
Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies prov...
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cena:
446,17 zł |
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Current Topics in Complex Algebraic Geometry
ISBN: 9780521562447 / Angielski / Twarda / 172 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume collects a series of survey articles on complex algebraic geometry, which in the early 1990s was undergoing a major change. Algebraic geometry has opened up to ideas and connections from other fields that have traditionally been far away. This book gives a good idea of the intellectual content of the change of direction and branching out witnessed by algebraic geometry in the past few years.
This volume collects a series of survey articles on complex algebraic geometry, which in the early 1990s was undergoing a major change. Algebraic geom...
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cena:
537,06 zł |
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Algebraic Groups and Lie Groups
ISBN: 9780521585323 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is a unique and comprehensive collection of works by some of the world's leading researchers. Papers on algebraic geometry, algebraic groups, and Lie groups are woven together to form a connection between the study of symmetry and certain algebraic structures. This connection reflects the interests of R. W. Richardson who studied the links between representation theory and the structure and geometry of algebraic groups. In particular, the papers address Kazhdan-Lusztig theory, quantum groups, spherical varieties, symmetric varieties, cohomology of varieties, purity, Schubert...
This volume is a unique and comprehensive collection of works by some of the world's leading researchers. Papers on algebraic geometry, algebraic grou...
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cena:
331,41 zł |
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Geometric Galois Actions: Around Grothendieck's Esquisse D'Un Programme
ISBN: 9780521596428 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. This work, written fourteen years after his retirement from public life in mathematics, includes the closely related letter to Gerd Faltings, published for the first time in this volume. Together these documents describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves. The book is written in an artistic and informal style. It contains...
The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d'un Programme" (Sketch of a Program) by ...
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cena:
384,01 zł |
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Birational Geometry of Algebraic Varieties
ISBN: 9780521632775 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate...
One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be gen...
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cena:
532,29 zł |
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Explicit Birational Geometry of 3-Folds
ISBN: 9780521636414 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This integrated suite of papers centers around applications of Mori theory to birational geometry. Four of the papers (those by Pukhlikov, Fletcher, Corti, and the long joint paper by Corti, Pukhlikov and Reid) work out in detail the theory of birational rigidity of Fano 3-folds. These contributions work for the first time with a representative class of Fano varieties, 3-fold hypersurfaces in weighted...
One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques...
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cena:
317,06 zł |
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Galois Representations in Arithmetic Algebraic Geometry
ISBN: 9780521644198 / Angielski / Miękka / 504 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a conference proceedings based on the 1996 Durham Symposium on "Galois representations in arithmetic algebraic geometry." The title was interpreted loosely and the symposium covered recent developments on the interface between algebraic number theory and arithmetic algebraic geometry. The book reflects this and contains a mixture of articles. Some are expositions of subjects that have received substantial recent attention: Erez on geometric trends in Galois module theory; Mazur on rational points on curves and varieties; Moonen on Shimura varieties in mixed characteristics; Rubin...
This book is a conference proceedings based on the 1996 Durham Symposium on "Galois representations in arithmetic algebraic geometry." The title was i...
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cena:
307,50 zł |
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New Trends in Algebraic Geometry
ISBN: 9780521646598 / Angielski / Miękka / 496 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing seventeen survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A, D, E classification, centered around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric...
This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing seventeen survey and research articles selected from the mo...
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cena:
288,37 zł |
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Elliptic Curves: Function Theory, Geometry, Arithmetic
ISBN: 9780521658171 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is...
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book...
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cena:
259,69 zł |
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Rational Points on Curves Over Finite Fields: Theory and Applications
ISBN: 9780521665438 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here, the authors relate an important application of such curves, namely, to the construction of low-discrepancy sequences, needed for numerical methods in diverse areas. They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.
Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here, the authors relate an import...
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cena:
364,88 zł |
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Spinning Tops
ISBN: 9780521779197 / Angielski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. Many mathematicians have established a modern view of the role played by algebraic geometry in recent years. This book presents some of these modern techniques, which fall within the orbit of finite dimensional integrable systems. The main body of the text presents a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics, while in appendices the author describes general, abstract...
Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies prov...
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cena:
250,12 zł |
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Singularities of Plane Curves
ISBN: 9780521789592 / Angielski / Miękka / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves covers both the classical and modern aspects of the field. It gives a unified treatment with complete proofs and presents modern results which have only appeared in research papers. It updates and correctly proves a number of important classical results for which there was formerly no suitable reference. With new, previously unpublished results as well as applications to algebra and algebraic geometry, this book will be useful as a reference text for researchers in the field. It...
This comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves covers both the classical and modern...
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cena:
307,50 zł |
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
ISBN: 9780521802604 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.
This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundle...
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cena:
594,45 zł |
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Hodge Theory and Complex Algebraic Geometry II: Volume 2
ISBN: 9780521802833 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity theorem, which generalizes the above. The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in complex algebraic geometry. Also available: Volume I 0-521-80260-1 Hardback $60.00 C
The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main...
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cena:
604,01 zł |
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Abelian Varieties, Theta Functions and the Fourier Transform
ISBN: 9780521808040 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. Alexander Polishchuk starts by discussing the classical theory of theta functions from the viewpoint of the representation theory of the Heisenberg group (in which the usual Fourier transform plays the prominent role). He then shows that in the algebraic approach to this theory (originally due to Mumford) the Fourier-Mukai transform can often be used to simplify the existing proofs or to provide completely...
This book is a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systema...
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cena:
537,06 zł |
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Frobenius Manifolds and Moduli Spaces for Singularities
ISBN: 9780521812962 / Angielski / Twarda / 282 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For those working in singularity theory or other areas of complex geometry, this volume will open the door to the study of Frobenius manifolds. In the first part Hertling explains the theory of manifolds with a multiplication on the tangent bundle. He then presents a simplified explanation of the role of Frobenius manifolds in singularity theory along with all the necessary tools and several applications. Readers will benefit from this careful and sound study of the fundamental structures and results in this exciting branch of mathematics.
For those working in singularity theory or other areas of complex geometry, this volume will open the door to the study of Frobenius manifolds. In the...
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cena:
537,06 zł |
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Computational Algebraic Geometry
ISBN: 9780521829649 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.
Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings ...
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cena:
484,42 zł |
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Frobenius Algebras and 2-D Topological Quantum Field Theories
ISBN: 9780521832670 / Angielski / Twarda / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into a more general pattern. Throughout the text emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. Includes numerous exercises and examples.
Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into ...
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cena:
680,52 zł |
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Logarithmic Forms and Diophantine Geometry
ISBN: 9780521882682 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern...
There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for insta...
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cena:
537,06 zł |
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