Rigid irregular connections on P^1

Mathematics – Algebraic Geometry

Scientific paper

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17 pages. Minor corrections, final version. To appear in Compositio Mathematica

Scientific paper

N.Katz's middle convolution algorithm provides a description of rigid
connections on the projective line with regular singularities. We extend the
algorithm by adding the Fourier transform to it. The extended algorithm
provides a description of rigid connections with arbitrary singularities.

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