Quadratic Forms, Linear Algebraic Groups, and Cohomology, Skip Garibaldi; R. Sujatha; Venapally Suresh

Автор: Kenneth S. Brown
Название: Cohomology of Groups: 87
ISBN: 0387906886 ISBN-13(EAN): 9780387906881
Издательство: Springer
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Описание: Suitable for second year graduate students, this text introduces cohomology theory (involving interplay between algebra and topology) with a minimum of prerequisites. It features basics of the subject, as well as exercises that are given prior to discussion of more specialized topics.

Автор: Totaro
Название: Group Cohomology and Algebraic Cycles
ISBN: 1107015774 ISBN-13(EAN): 9781107015777
Издательство: Cambridge Academ
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Описание: Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles.

Автор: S.Lang
Название: Topics in Cohomology of Groups
ISBN: 3540611819 ISBN-13(EAN): 9783540611813
Издательство: Springer
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Описание: The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students.