Hodge structures on cohomology algebras and geometry

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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.
Final version, to appear in Math. Annalen 2008

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Algebraic Geometry, 14C30, 32J27, 53D05

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http://salesiana.dossiersoluciones.com/handle/123456789/142759

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703523
 http://arxiv.org/abs/math/0703523

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arXiv