Homology for irregular connections

Mathematics – Algebraic Geometry

Scientific paper

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latex 16 pages, one picture

Scientific paper

Homology with values in a connection with possibly irregular singular points
on an algebraic curve is defined, generalizing homology with values in the
underlying local system for a connection with regular singular points.
Integration defines a perfect pairing between de Rham cohomology with values in
the connection and homology with values in the dual connection.

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