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Modules of Abelian integrals and Picard-Fuchs systems | D. Novikov
; | Date: |
12 Oct 2001 | Subject: | Dynamical Systems; Complex Variables MSC-class: 30.46; 34C08 | math.DS math.CV | Abstract: | We give a simple proof of an isomorphism between the two $mathbb{C}[t]$-modules: the module of relative cohomologies $Lambda^2/dHland Lambda^1$ 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. | Source: | arXiv, math.DS/0110126 | Services: | Forum | Review | PDF | Favorites |
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