de Rham Cohomology of Differential Modules on Algebraic Varieties, Andrй Yves, Baldassarri Francesco, Cailotto Maurizio

Автор: P. A. Schweitzer
Название: Differential Topology, Foliations and Gelfand-Fuks Cohomology
ISBN: 3540078681 ISBN-13(EAN): 9783540078685
Издательство: Springer
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Автор: Bruzzo Ugo, Otero Beatriz Grana
Название: Derived Functors And Sheaf Cohomology
ISBN: 9811207283 ISBN-13(EAN): 9789811207280
Издательство: World Scientific Publishing
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Описание:

The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.

The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining Čech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.

Автор: Witherspoon, Sarah J.
Название: Hochschild cohomology for algebras
ISBN: 1470449315 ISBN-13(EAN): 9781470449315
Издательство: Mare Nostrum (Eurospan)
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Описание: This book gives a thorough and self-contained introduction to the theory of Hochschild cohomology for algebras and includes many examples and exercises. The book then explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, support varieties, and connections to Hopf algebra cohomology. Useful homological algebra background is provided in an appendix. The book is designed both as an introduction for advanced graduate students and as a resource for mathematicians who use Hochschild cohomology in their work.

Автор: Skip Garibaldi; R. Sujatha; Venapally Suresh
Название: Quadratic Forms, Linear Algebraic Groups, and Cohomology
ISBN: 1461426308 ISBN-13(EAN): 9781461426301
Издательство: Springer
Цена: 23058.00 р.
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Описание: We dedicate this volume to Professor Parimala on the occasion of her 60th birthday. It contains a variety of papers related to the themes of her research. Parimala's rst striking result was a counterexample to a quadratic analogue of Serre's conjecture (Bulletin of the American Mathematical Society, 1976). Her in uence has cont- ued through her tenure at the Tata Institute of Fundamental Research in Mumbai (1976-2006), and now her time at Emory University in Atlanta (2005-present). A conference was held from 30 December 2008 to 4 January 2009, at the U- versity of Hyderabad, India, to celebrate Parimala's 60th birthday (see the conf- ence's Web site at http: //mathstat.uohyd.ernet.in/conf/quadforms2008). The or- nizing committee consisted of J.-L. Colliot-Thel en e, Skip Garibaldi, R. Sujatha, and V. Suresh. The present volume is an outcome of this event. We would like to thank all the participants of the conference, the authors who have contributed to this volume, and the referees who carefully examined the s- mitted papers. We would also like to thank Springer-Verlag for readily accepting to publish the volume. In addition, the other three editors of the volume would like to place on record their deep appreciation of Skip Garibaldi's untiring efforts toward the nal publication.

Автор: Huber, Roland
Название: Etale cohomology of rigid analytic varieties and adic spaces
ISBN: 366309992X ISBN-13(EAN): 9783663099925
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Diese Forschungsmonographie von hohem mathematischen Niveau liefert einen neuen Zugang zu den rigid-analytischen Raumen, sowie ihrer etalen Kohomologie.USP: Aus der Froschung: Zahlentheorie und Algebraische Geometrie"

Автор: Bialynicki-Birula A.
Название: Algebraic Quotients. Torus Actions and Cohomology. The Adjoi
ISBN: 3642077455 ISBN-13(EAN): 9783642077456
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory.

Автор: Fu Lei
Название: Etale Cohomology Theory: Revised Edition
ISBN: 9814675083 ISBN-13(EAN): 9789814675086
Издательство: World Scientific Publishing
Цена: 31680.00 р.
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Описание: Etale cohomology is an important branch in arithmetic geometry.

Автор: Andrй Yves, Baldassarri Francesco, Cailotto Maurizio
Название: de Rham Cohomology of Differential Modules on Algebraic Varieties
ISBN: 3030397181 ISBN-13(EAN): 9783030397180
Издательство: Springer
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Цена: 16769.00 р.
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Описание: "...A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong...This is a nicely-written book [that] studies algebraic differential modules in several variables."--Mathematical Reviews

Автор: Soon-Tae Hong
Название: BRST Symmetry and de Rham Cohomology
ISBN: 9401797498 ISBN-13(EAN): 9789401797498
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book provides an advanced introduction to extended theories of quantum field theory and algebraic topology, including Hamiltonian quantization associated with some geometrical constraints, symplectic embedding and Hamilton-Jacobi quantization and Becci-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology.

Автор: Soon-Tae Hong
Название: BRST Symmetry and de Rham Cohomology
ISBN: 9402404015 ISBN-13(EAN): 9789402404012
Издательство: Springer
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Цена: 11753.00 р.
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Описание: This book provides an advanced introduction to extended theories of quantum field theory and algebraic topology, including Hamiltonian quantization associated with some geometrical constraints, symplectic embedding and Hamilton-Jacobi quantization and Becci-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology.