Noncommutative Algebraic Geometry

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Gwyn Bellamy (University of Glasgow) Daniel Rogalski (University of California, San Diego)

Noncommutative Algebraic Geometry

Gwyn Bellamy (University of Glasgow), Daniel Rogalski (University of California, San Diego), Travis Schedler (Imperial College London) , J. Toby Stafford (University of Manchester)

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English

Cambridge University Press
20 June 2016

Algebraic geometry

Series: Mathematical Sciences Research Institute Publications

There are many interactions between noncommutative algebra and representation theory on the one hand and classical algebraic geometry on the other, with important applications in both directions. The aim of this book is to provide a comprehensive introduction to some of the most significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities. The book is based on lecture courses in noncommutative algebraic geometry given by the authors at a Summer Graduate School at the Mathematical Sciences Research Institute, California in 2012 and, as such, is suitable for advanced graduate students and those undertaking early post-doctorate research. In keeping with the lectures on which the book is based, a large number of exercises are provided, for which partial solutions are included.

By: Gwyn Bellamy (University of Glasgow), Daniel Rogalski (University of California, San Diego), Travis Schedler (Imperial College London), J. Toby Stafford (University of Manchester), Michael Wemyss (University of Glasgow)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 64
Dimensions: Height: 241mm, Width: 160mm, Spine: 22mm
Weight: 660g
ISBN: 9781107129542
ISBN 10: 1107129540
Series: Mathematical Sciences Research Institute Publications
Pages: 248
Publication Date: 20 June 2016
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction; 1. Noncommutative projective geometry; 2. Deformations of algebras in noncommutative geometry; 3. Symplectic reflection algebras; 4. Noncommutative resolutions; Solutions to the exercises; Bibliography.