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Hodge Theory

af Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, Lê Dũng Tráng ...

Serier Bog 49 - Mathematical Notes
This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, ... Læs mere

768,36 kr.

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles,
... Læs mere

Basic Category Theory

af Tom Leinster ...

Serier Bog 143 - Cambridge Studies in Advanced Mathematics
At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in ... Læs mere

613,11 kr.

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in
... Læs mere
Chow Rings, Decomposition of the Diagonal, and the Topology of Families

af Claire Voisin ...

Serier Bog 187 - Annals of Mathematics Studies
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch ... Læs mere

571,61 kr.

In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch
... Læs mere
Topological Galois Theory

Solvability and Unsolvability of Equations in Finite Terms

af Askold Khovanskii ...

Oversat af Vladlen Timorin, Valentina Kiritchenko, Liudmyla Kadets ...

Serier serie Mathematics and Statistics (R0)
This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... Læs mere

1.120,66 kr.

This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard
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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

af Stefan Witzel ...

Serier serie Mathematics and Statistics (R0)
Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S ... Læs mere

294,11 kr.

Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S
... Læs mere
Galois Theory, Coverings, and Riemann Surfaces

af Askold Khovanskii ...

Oversat af Vladlen Timorin, Valentina Kiritchenko ...

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric ... Læs mere

420,24 kr.

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric
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Structure and Geometry of Lie Groups

af Joachim Hilgert, Karl-Hermann Neeb ...

Serier serie Mathematics and Statistics (R0)
This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie ... Læs mere

756,49 kr.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie
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Set Theory

With an Introduction to Real Point Sets

af Abhijit Dasgupta ...

What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively ... Læs mere

672,36 kr.

What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively
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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

af Friedrich Wehrung ...

Serier serie Mathematics and Statistics (R0)
Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, ... Læs mere

466,89 kr.

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups,
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Synthetic Differential Topology

af Marta Bunge, Felipe Gago, Ana María San Luis ...

Serier Bog 448 - London Mathematical Society Lecture Note Series
This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of ... Læs mere

731,01 kr.

This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of
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Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Redigeret af Stephan Rosebrock, Wolfgang Metzler ...

Serier Bog 446 - London Mathematical Society Lecture Note Series
This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as ... Læs mere

605,25 kr.

This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as
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Differentiable Manifolds

A Theoretical Physics Approach

af Gerardo F. Torres del Castillo ...

Serier serie Mathematics and Statistics (R0)
This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way. Basic concepts, such as differentiable manifolds, differentiable mappings, tangent vectors, vector fields, and differential forms, are briefly introduced in the first three chapters. Chapter 4 gives a concise introduction to differential geometry needed in subsequent ... Læs mere

630,36 kr.

This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way. Basic concepts, such as differentiable manifolds, differentiable mappings, tangent vectors, vector fields, and differential forms, are briefly introduced in the first three chapters. Chapter 4 gives a concise introduction to differential geometry needed in subsequent
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Mathematical Notes Bogserier

Hodge Theory

Personer, der læser dette, syntes også om...

Basic Category Theory

Chow Rings, Decomposition of the Diagonal, and the Topology of Families

Topological Galois Theory

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Galois Theory, Coverings, and Riemann Surfaces

Structure and Geometry of Lie Groups

Set Theory

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Synthetic Differential Topology

Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Differentiable Manifolds