Hypergeometric Equations and Weighted Projective Spaces

Simple item page
dc.creatorCorti, Alessio
dc.creatorGolyshev, Vasily
dc.date2006-07-03
dc.date.accessioned2026-07-07T07:17:55Z
dc.date.available2026-07-07T07:17:55Z
dc.descriptionWe compute the Hodge numbers of the variation of Hodge structure of the middle cohomology (with compact support) of the Landau-Ginzburg model dual to a weighted projective space. We state a conjectural formula for the Hodge numbers of general hypergeometric variations. We show that a general Landau-Ginzburg fibre is birational to a Calabi-Yau variety if and only if a general anticanonical section of the weighted projective space is Calabi-Yau. We analyse the 104 weighted 3-spaces with canonical singularities, and show that a general anticanonical section is not a K3 surface exactly in those 9 cases where a generic Landau-Ginzburg fibre is an elliptic surface of Kodaira dimension 1.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0607016
dc.identifierhttp://arxiv.org/abs/math/0607016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114113
dc.subjectAlgebraic Geometry
dc.subject14-xx
dc.titleHypergeometric Equations and Weighted Projective Spaces
dc.typetext

Files

Collections

arXiv