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On Irregularities of Fourier Transforms of Regular Holonomic D-Modules

We study Fourier transforms of regular holonomic D-modules. By using the theory of Fourier-Sato transforms of enhanced ind-sheaves developed by Kashiwara-Schapira and D'Agnolo-Kashiwara, a formula for their enhanced solution complexes will be obtained. Moreover we show that some parts of their characteristic cycles and irregularities are expressed by the geometries of the original D-modules.

preprint2020arXivOpen access
Yohei ItoKiyoshi Takeuchi
math.AG
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Open access2 authors1 topic
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Yohei ItoKiyoshi Takeuchi

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