Blowing up of non-commutative smooth surfaces

書誌事項

Blowing up of non-commutative smooth surfaces

Michel Van den Bergh

(Memoirs of the American Mathematical Society, no. 734)

American Mathematical Society, 2001

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注記

"November 2001, volume 154, number 734 (end of volume)"

Includes bibliographical references (p. 139-140)

内容説明・目次

内容説明

This text looks at topics that include: preliminaries on category theory; non-commutative geometry; pseudo-compact rings; Cohen-Macaulay curves embedded in quasi-schemes; derived categories; quantum plane geometry; and non-commutative cubic surfaces.

目次

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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