Grothendieck Duality and Base Change

• Κύριος συγγραφέας: Conrad, Brian (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Έκδοση: 1st ed. 2000.
• Σειρά: Lecture Notes in Mathematics, 1750
• Θέματα: 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...

Πίνακας περιεχομένων:

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