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25 October 2021
 
  » arxiv » math.DS/0110126

 Article overview


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
AbstractWe 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
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