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Etale Cohomology Theory (Revised Edition)

Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on;

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Étale Cohomology

. In the early 1960s, he and M. Artin introduced etale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex;

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Etale Cohomology (PMS-33), Volume 33

. In the early 1960s, he and M. Artin introduced etale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex;

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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104

homology and cohomology, generalized cohomology) which have immediately proved applicable to algebraic K-theory.;

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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107

field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.;

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Lecture Notes on Motivic Cohomology

cohomology theories in Algebraic Geometry. We now know that there is a triangulated theory of motives, discovered by Vladimir Voevodsky, which;

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The Norm Residue Theorem in Motivic Cohomology

in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of etale cohomology and its relation to;

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The Norm Residue Theorem in Motivic Cohomology

in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of etale cohomology and its relation to;

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Etale Cohomology and the Weil Conjecture

Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof;

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New Mathematical Monographs

themes: first, applications of etale cohomology, leading to the proof of the recent Bonnafe-Rouquier theorems. The second is a straightforward;

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Rigid Cohomology over Laurent Series Fields

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive;

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London Mathematical Society Lecture Note Series

Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathemat;...

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Rational Points on Varieties

rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, etale and fppf cohomology, the Weil;

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From Calculus to Cohomology

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory;

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Rigid Cohomology

Dating back to work of Berthelot, rigid cohomology appeared as a common generalization of Monsky-Washnitzer cohomology and crystalline;

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Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions

values of L-functions. The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with;

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Eisenstein Cohomology for GLN and the Special Va (AMS203)

values of L-functions. The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with;

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Triangulated Categories of Mixed Motives

etale cohomology and Ayoub's solution to Voevodsky's cross functors theory. We also thoroughly develop the theory of motivic complexes with;

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Twenty-Four Hours of Local Cohomology

This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other;

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Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in cent;...

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Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in cent;...

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Homology of Normal Chains and Cohomology of Charges

neighborhood retracts of a large class of Banach spaces. On this category the authors define homology and cohomology functors with real coefficients;

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Elements of Homology Theory

in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples;

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Continuous Bounded Cohomology of Locally Compact Groups

Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has;

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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the;

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Elliptic Cohomology

Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology;

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