Hodge structures on cohomology algebras and geometry
Algebraic Geometry
2007-11-26 v3
Abstract
We study restrictions on cohomology algebras of Kaehler compact manifolds, not depending on the h^{p,q} numbers or the symplectic structure. To illustrate the effectiveness of these restrictions, we give a number of examples of compact symplectic manifolds satisfying the Lefschetz property but not having the cohomology algebra of a compact Kaehler manifold. We also prove the stability of these restrictions under products.
Keywords
Cite
@article{arxiv.math/0703523,
title = {Hodge structures on cohomology algebras and geometry},
author = {Claire Voisin},
journal= {arXiv preprint arXiv:math/0703523},
year = {2007}
}
Comments
Final version, to appear in Math. Annalen 2008