The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map
Abstract
Description
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 $A$-type Lie algebra.
To appear in Advances in Algebraic Geometry Motivated by Physics (ed. E. Previato), Contemporary Mathematics
To appear in Advances in Algebraic Geometry Motivated by Physics (ed. E. Previato), Contemporary Mathematics