The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We solved the long-standing problem of describing the cohomology ring of semiample hypersurfaces in complete simplicial toric varieties. Also, the monomial-divisor mirror map is generalized to a map between the whole Picard group and the space of infinitesimal deformations for a mirror pair of Calabi-Yau hypersurfaces. This map is compatible with certain vanishing limiting products of the subrings of the chiral rings, on which the ring structure is related to a product of the roots of -type Lie algebra.
Keywords
Cite
@article{arxiv.math/0012208,
title = {The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map},
author = {Anvar R. Mavlyutov},
journal= {arXiv preprint arXiv:math/0012208},
year = {2007}
}
Comments
To appear in Advances in Algebraic Geometry Motivated by Physics (ed. E. Previato), Contemporary Mathematics