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Blowing up of non-commutative smooth surfaces
About this Title
Michel Van den Bergh
Publication: Memoirs of the American Mathematical Society
Publication Year:
2001; Volume 154, Number 734
ISBNs: 978-0-8218-2754-3 (print); 978-1-4704-0327-0 (online)
DOI: https://doi.org/10.1090/memo/0734
MathSciNet review: 1846352
MSC: Primary 16S38; Secondary 14A22, 16E99
Table of Contents
Chapters
- 1. Introduction
- 2. Preliminaries on category theory
- 3. Non-commutative geometry
- 4. Pseudo-compact rings
- 5. Cohen-Macaulay curves embedded in quasi-schemes
- 6. Blowing up a point on a commutative divisor
- 7. Derived categories
- 8. The derived category of a non-commutative blowup
- 9. Some results on graded algebras and their sections
- 10. Quantum plane geometry
- 11. Blowing up $n$ points in an elliptic quantum plane
- 12. Non-commutative cubic surfaces