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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Grothendieck Duality and Base Change (Paperback, 2000 ed.)
Loot Price: R2,351
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Grothendieck Duality and Base Change (Paperback, 2000 ed.)
Series: Lecture Notes in Mathematics, 1750
Expected to ship within 10 - 15 working days
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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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