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Blowing Up of Non-Commutative Smooth Surfaces
Michel Van den Bergh, University Centrum Limburg, Diepenbeek, Belgium
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Memoirs of the American Mathematical Society
2001; 140 pp; softcover
Volume: 154
ISBN-10: 0-8218-2754-5
ISBN-13: 978-0-8218-2754-3
List Price: US$57
Individual Members: US$34.20
Institutional Members: US$45.60
Order Code: MEMO/154/734
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Readership

Graduate students and research mathematicians interested in associative rings and algebras, and noncommutative geometry.

Table of Contents

  • Introduction
  • Preliminaries on category theory
  • Non-commutative geometry
  • Pseudo-compact rings
  • Cohen-Macaulay curves embedded in quasi-schemes
  • Blowing up a point on a commutative divisor
  • Derived categories
  • The derived category of a non-commutative blowup
  • Some results on graded algebras and their sections
  • Quantum plane geometry
  • Blowing up \(n\) points in an elliptic quantum plane
  • Non-cummutative cubic surfaces
  • Appendix A. Two-categories
  • Appendix B. Summary of notations
  • Appendix C. Index of terminology
  • Bibliography
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