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arxiv: math/0203063 · v2 · submitted 2002-03-07 · 🧮 math.AG · math.CV

Meromorphic connections on P1 and the multiplicity of Abelian integrals

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keywords abelianintegralsmeromorphicarbitraryboundbundleconceptconnection
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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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