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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

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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