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  3. Noncommutative Algebraic Geometry
  • Cited by 4
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2025
      June 2016
      ISBN:
      9781316416570
      9781107129542
      9781107570030
      DOI:
      https://doi.org/10.1017/9781316416570
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.66kg, 368 Pages
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.55kg, 358 Pages
      • Subjects:
      Mathematics, Real and Complex Analysis, Geometry and Topology, Algebra
      Series:
      Mathematical Sciences Research Institute Publications (64)
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    • Selected: Digital
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    Subjects:
    Mathematics, Real and Complex Analysis, Geometry and Topology, Algebra
    Series:
    Mathematical Sciences Research Institute Publications (64)
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    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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