2004/12/13 by Hossein Movasati, Movasati, Hossein
Mathematics · #14C30 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG #msc:14C30
paper · pdf · doi:10.48550/arxiv.math/0412235
14 pages
arxiv created 2004/12/13 · arxiv updated 2009/12/01
In 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.