Cohomology and Obstructions I: Geometry of formal Kuranishi theory

Abstract

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.

arXiv commentLatex2e file, revision contains minor corrections and simplifications

References in corpus (2)

• Canonical Infinitesimal Deformations
• Cohomology and Obstructions III: A variational form of the generalized Hodge conjecture on K-trivial threefolds

Cited by in corpus (6)

• A Superficial Working Guide to Deformations and Moduli
• Cohomology and Obstructions II: Curves on K-trivial threefolds
• Degree 1 Curves in the Dwork Pencil and the Mirror Quintic
• Cohomology and Obstructions III: A variational form of the generalized Hodge conjecture on K-trivial threefolds
• A Petri Theorem for Rank 2 Bundles with Canonical Determinant
• A local proof of Petri's conjecture at the general curve