1999/01/20 by Herbert Clemens, Clemens, Herbert
Mathematics · #14D15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #msc:14D15
paper · pdf · doi:10.48550/arxiv.math/9901084
Latex2e file, revision contains minor corrections and simplifications
openalex publication_date 1999/01/20 · arxiv created 2002/08/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.