On Irregularities of Fourier Transforms of Regular Holonomic D-Modules

Abstract

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.

54 pages, to appear in Advances in Mathematics

References in corpus (5)

• Wild Harmonic Bundles and Wild Pure Twistor D-modules
• Irregularity of hypergeometric systems via slopes along coordinate subspaces
• Hypergeometric D-modules and twisted Gauss-Manin systems
• Microlocal condition for non-displaceablility
• A microlocal approach to the enhanced Fourier-Sato transform in dimension one

Cited by in corpus (2)

• Kashiwara conjugation and the enhanced Riemann-Hilbert correspondence
• On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules