Item description for Grothendieck Duality and Base Change (Lecture Notes in Mathematics) by Brian Conrad...
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.
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Est. Packaging Dimensions: Length: 9.13" Width: 6.06" Height: 0.63" Weight: 0.97 lbs.
Release Date Jan 12, 2001
ISBN 3540411348 ISBN13 9783540411345
Availability 143 units. Availability accurate as of Oct 22, 2016 04:01.
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More About Brian Conrad
Brian Conrad is a Professor in the Department of Mathematics at Stanford University.
Brian Conrad currently resides in the state of Michigan. Brian Conrad was born in 1970 and has an academic affiliation as follows - University of Michigan, Ann Arbor Stanford University, California Univ.