Modules of the Abelian integrals and the Picard$ndash$Fuchs systems*

D Novikov
2002 Nonlinearity  
We give a simple proof of an isomorphism between the two $\mathbb{C}[t]$-modules: the module of relative cohomologies $\Lambda^2/dH\land \Lambda^1$ and the module of Abelian integrals corresponding to a regular at infinity polynomial $H$ in two variables. Using this isomorphism, we prove existence and deduce some properties of the corresponding Picard-Fuchs system.
doi:10.1088/0951-7715/15/5/305 fatcat:a3cuczv2unbzhawawgwyq56vlu