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Lecture Notes in Mathematics

Grothendieck Duality and Base Change

Authors: Conrad, Brian

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About this book

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.

Table of contents (5 chapters)

Buy this book

eBook 47,59 €
price for Spain (gross)
  • ISBN 978-3-540-40015-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 59,23 €
price for Spain (gross)
  • ISBN 978-3-540-41134-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Grothendieck Duality and Base Change
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1750
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-40015-8
DOI
10.1007/b75857
Softcover ISBN
978-3-540-41134-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 300
Topics