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arXiv · 0808.0699

Fourier transform and middle convolution for irregular D-modules

D. Arinkin
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Abstract

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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D. Arinkin. 2008-08-05. Fourier transform and middle convolution for irregular D-modules. https://arxiv.org/abs/0808.0699

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