Grothendieck duality and base change
Author(s)
Bibliographic Information
Grothendieck duality and base change
（Lecture notes in mathematics, 1750）
Springer-Verlag, c2000
Available at / 79 libraries
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410.8//L49//835515100167970,15100173077,15100176161,15100178241,15100178258,15100283553
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
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Note
Bibliography: p. [291]-292
Includes index
Description and Table of Contents
Description
Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory.
Table of Contents
Basic Compatibilities.- Duality Foundations.- Proof of Main Theorem.- Examples.
by "Nielsen BookData"
