Geodesic
On Some Topological Properties of Fourier Transforms of Regular Holonomic ${\mathcal{D}}$-Modules
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 454-468

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DOI

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.
DOI : 10.4153/S0008439519000559
Mots-clés : D-module, Fourier transform, irregular singularity 
Ito, Yohei; Takeuchi, Kiyoshi. On Some Topological Properties of Fourier Transforms of Regular Holonomic ${\mathcal{D}}$-Modules. Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 454-468. doi: 10.4153/S0008439519000559
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     author = {Ito, Yohei and Takeuchi, Kiyoshi},
     title = {On {Some} {Topological} {Properties} of {Fourier} {Transforms} of {Regular} {Holonomic} ${\mathcal{D}}${-Modules}},
     journal = {Canadian mathematical bulletin},
     pages = {454--468},
     year = {2020},
     volume = {63},
     number = {2},
     doi = {10.4153/S0008439519000559},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000559/}
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