Grothendieck Duality and Base Change (Lecture Notes in Mathematics, 1750, Band 1750) - Softcover

Conrad, Brian

 
9783540411345: Grothendieck Duality and Base Change (Lecture Notes in Mathematics, 1750, Band 1750)
Softcover
ISBN 10: 3540411348 ISBN 13: 9783540411345
Verlag: Springer, 2008

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540411348
ISBN 13 
9783540411345
Einband
Taschenbuch
Anzahl der Seiten
312
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