Calculation of mixed Hodge structures, Gauss-Manin connections and Picard-Fuchs equations

Simple item page
dc.creatorMovasati, Hossein
dc.date2004-12-13
dc.date.accessioned2026-07-07T05:15:14Z
dc.date.available2026-07-07T05:15:14Z
dc.descriptionIn this article we introduce algorithms which compute iterations of Gauss-Manin connections, Picard-Fuchs equations of Abelian integrals and mixed Hodge structure of affine varieties of dimension $n$ in terms of differential forms. In the case $n=1$ such computations have many applications in differential equations and counting their limit cycles. For $n>3$, these computations give us an explicit definition of Hodge cycles.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0412235
dc.identifierhttp://arxiv.org/abs/math/0412235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73564
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject14C30
dc.titleCalculation of mixed Hodge structures, Gauss-Manin connections and Picard-Fuchs equations
dc.typetext

Files

Collections

arXiv