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Modules of Abelian integrals and Picard-Fuchs systems

D. Novikov
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Abstract

We give a simple proof of an isomorphism between the two $\mathbb{C}[t]$-modules: the module of relative cohomologies $Λ^2/dH\land Λ^1$ 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.

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D. Novikov. 2002-06-06. Modules of Abelian integrals and Picard-Fuchs systems. https://doi.org/10.1088/0951-7715%2F15%2F5%2F305

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