Fourier transform and middle convolution for irregular D-modules

Mathematics – Algebraic Geometry

Scientific paper

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29 pages

Scientific paper

S.Block and H.Esnault constructed the local Fourier transform for D-modules.
We present a different approach to the local Fourier transform, which makes its
properties almost tautological. We apply the local Fourier transform to compute
the local version of Katz's middle convolution.

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