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arXiv · 1210.3951

On uniformizable representation for Abelian integrals

Yu. V. Brezhnev
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Abstract

We show how the unformizable representation for Abelian integrals of nontrivial genera arise. The technique makes use of the famous Chudnovsky's Fuchsian linear differential equations and their relation to the sixth Painleve transcendent.

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Yu. V. Brezhnev. 2012-10-15. On uniformizable representation for Abelian integrals. https://arxiv.org/abs/1210.3951

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