Grothendieck Duality and Base Change

• Main Author: Conrad, Brian (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1750
• Subjects: Algebraic geometry.; Number theory.; Algebraic Geometry.; Number Theory.

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 an...

Table of Contents:

• Introduction
• Basic compatibilities
• Duality foundations
• Proof of main theorom
• Examples: Higher direct images. Curves
• Residues and cohomology with supports
• Trace map on smooth curves.