Cohomology and Obstructions I: Geometry of formal Kuranishi theory

Details Cohomology and Obstructions I: Geometry of formal Kuranishi theory Cohomology and Obstructions I: Geometry of formal Kuranishi theory

1999-01-20

arxiv.org/abs/math/9901084v4

Mathematics

Algebraic Geometry

Latex2e file, revision contains minor corrections and simplifications

Scientific paper

The principle "ambient cohomology of a Kaehler manifold annihilates
obstructions" has been known and exploited since pioneering work of Kodaira.
This paper extends and unifies many known results in two contexts, abstract
deformations of compact Kaehler manifolds and deformations of submanifolds
within a given deformation of the ambient manifold.

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