Meromorphic connections on \P1 and the multiplicity of Abelian integrals

2002/03/07 by Hossein Movasati, Movasati, Hossein
Mathematics · #14F05 #14F43 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV #msc:14F05 #msc:14F43

paper · pdf · doi:10.48550/arxiv.math/0203063

10 pages

arxiv created 2002/04/03 · arxiv updated 2009/11/30

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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