Semiample hypersurfaces in toric varieties

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We study the geometry and cohomology of semiample hypersurfaces in toric varieties. Such hypersurfaces generalize the MPCP-desingularizations of Calabi-Yau ample hypersurfaces in the Batyrev mirror construction. We study the topological cup product on the middle cohomology of semiample hypersurfaces. In particular, we obtain a complete algebraic description of the middle cohomology of regular semiample hypersurfaces in 4-dimensional simplicial toric varieties what would be interesting for physics.
Some corrections made (Lemma 5.7, Theorem 5.9)

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Algebraic Geometry, 14M25

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http://salesiana.dossiersoluciones.com/handle/123456789/77909

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812163
 http://arxiv.org/abs/math/9812163
 Published in Duke Math. J., vol. 101 (2000), pp. 85-116

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arXiv