Semiample hypersurfaces in toric varieties
代数几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/9812163,
title = {Semiample hypersurfaces in toric varieties},
author = {Anvar R. Mavlyutov},
journal= {arXiv preprint arXiv:math/9812163},
year = {2007}
}
备注
Some corrections made (Lemma 5.7, Theorem 5.9)