an:07194670
Zbl 1439.32025
Ito, Yohei; Takeuchi, Kiyoshi
On some topological properties of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules
EN
Can. Math. Bull. 63, No. 2, 454-468 (2020).
00448724
2020
j
32C38 32S60 35A27
\(\mathcal{D}\)-module; Fourier transform; irregular singularity
Summary: We study Fourier transforms of regular holonomic \(\mathcal{D}\)-modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic \(\mathcal{D}\)-modules will be given. Moreover, we give a new proof of the classical theorem of Brylinski and improve it by showing its converse.