The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map

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dc.creatorMavlyutov, Anvar R.
dc.date2000-12-20
dc.date.accessioned2026-07-07T04:39:21Z
dc.date.available2026-07-07T04:39:21Z
dc.descriptionWe 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.
dc.descriptionTo appear in Advances in Algebraic Geometry Motivated by Physics (ed. E. Previato), Contemporary Mathematics
dc.identifierhttps://arxiv.org/abs/math/0012208
dc.identifierhttp://arxiv.org/abs/math/0012208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60628
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject14M25
dc.titleThe Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map
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