Grothendieck Duality and Base Change is popular PDF and ePub book, written by Brian Conrad in 2003-07-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Grothendieck Duality and Base Change can be Read Online from any device for your convenience.
Grothendieck Duality and Base Change Book PDF Summary
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.
Detail Book of Grothendieck Duality and Base Change PDF
- Author : Brian Conrad
- Release : 01 July 2003
- Publisher : Springer
- ISBN : 9783540400158
- Genre : Mathematics
- Total Page : 302 pages
- Language : English
- PDF File Size : 10,5 Mb
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