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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
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