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A Study in Derived Algebraic Geometry, Part 1: Volume I: Correspondences and Duality
About this Title
Dennis Gaitsgory, Harvard University, Cambridge, MA and Nick Rozenblyum, University of Chicago, Chicago, IL
Publication: Mathematical Surveys and Monographs
Publication Year:
2017; Volume 221.1
ISBNs: 978-1-4704-3569-1 (print); 978-1-4704-4085-5 (online)
DOI: https://doi.org/10.1090/surv/221.1
MathSciNet review: MR3701352
MSC: Primary 14F05; Secondary 18D05, 18G55
Table of Contents
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Front/Back Matter
Preliminaries
- Introduction
- Some higher algebra
- Basics of derived algebraic geometry
- Quasi-coherent sheaves on prestacks
Ind-coherent sheaves
- Introduction
- Ind-coherent sheaves on schemes
- Ind-coherent sheaves as a functor out of the category of correspondences
- Interaction of Qcoh and IndCoh
Categories of correspondences
- Introduction
- The $(\infty ,2)$-category of correspondences
- Extension theorems for the category of correspondences
- The (symmetric) monoidal structure on the category of correspondences
$(\infty ,2)$-categories