%0 Journal Article
%T Cohomological constraint to deformations of compact Kaehler manifolds
%A Marco Manetti
%J Mathematics
%D 2001
%I arXiv
%X We prove that for every compact K\"ahler manifold $X$ there exists an $L$-infinity morphism, lifting the usual cup product in cohomology, from the Kodaira-Spencer differential graded Lie algebra to the suspension of the space of linear endomorphisms of the singular cohomology of $X$. As a consequence we get an algebraic proof of the principle ``obstructions to deformations of compact Kaehler manifolds annihilate ambient cohomology''.
%U http://arxiv.org/abs/math/0105175v2