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Meromorphic connections on $\P1$ and the multiplicity of Abelian integrals

Hossein Movasati
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Abstract

In this paper we introduce the concept of Abelian integrals in differential equations for an arbitrary vector bundle on $\P1$ with a meromorphic connection. In this general context we give an upper bound for the numbers we are looking for.

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Hossein Movasati. 2002-04-03. Meromorphic connections on $\P1$ and the multiplicity of Abelian integrals. https://arxiv.org/abs/math/0203063

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