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Deformations of coherent analytic sheaves with compact supports

About this Title

Yum Tong Siu and Günther Trautmann

Publication: Memoirs of the American Mathematical Society
Publication Year: 1981; Volume 29, Number 238
ISBNs: 978-0-8218-2238-8 (print); 978-1-4704-0642-4 (online)
DOI: https://doi.org/10.1090/memo/0238
MathSciNet review: 597091
MSC: Primary 32G05

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Table of Contents

Chapters

  • Introduction
  • 1. Deformations
  • 2. Sheaf systems
  • 3. Obstructions for extending deformations
  • 4. Amalgamation
  • 5. Reduction tools
  • 6. Norms
  • 7. Constructing homomorphisms with bounds
  • 8. Extending homomorphisms with bounds
  • 9. Elimination of obstructions
  • 10. Construction of a versal deformation
  • 11. Constructing morphisms of deformations