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CR-geometry and deformations of isolated singularities

About this Title

Ragnar-Olaf Buchweitz and John J. Millson

Publication: Memoirs of the American Mathematical Society
Publication Year: 1997; Volume 125, Number 597
ISBNs: 978-0-8218-0541-1 (print); 978-1-4704-0182-5 (online)
DOI: https://doi.org/10.1090/memo/0597
MathSciNet review: 1355712
MSC: Primary 32S30; Secondary 14B07, 14D15, 32G07

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Table of Contents

Chapters

  • 0. Introduction
  • 1. Controlling differential graded Lie algebras
  • 2. Vector-valued differential forms on complex manifolds
  • 3. Kuranishi’s CR deformation theory
  • 4. The global tangent complex of a complex analytic space
  • 5. The local tangent complex controls the flat deformations of an analytic local ring
  • 6. The global tangent complex controls the flat deformations of a complex analytic space
  • 7. The comparison of the tangent complex and the Kodaira-Spencer algebra of a complex manifold
  • 8. The Akahori complexes
  • 9. A controlling differential graded Lie algebra for Kuranishi’s CR-deformation theory
  • 10. Counterexamples