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  3. Noncommutative Algebraic Geometry
  • Cited by 4
Publisher:
Cambridge University Press
Online publication date:
May 2025
Print publication year:
2016
Online ISBN:
9781316416570
DOI:
https://doi.org/10.1017/9781316416570
Subjects:
Mathematics, Real and Complex Analysis, Geometry and Topology, Algebra
Series:
Mathematical Sciences Research Institute Publications (64)
Information

Book description

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.

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