TY - JOUR
T1 - On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules
AU - Ito, Yohei
AU - Takeuchi, Kiyoshi
N1 - Publisher Copyright:
© Canadian Mathematical Society 2019.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - We study Fourier transforms of regular holonomic -modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic -modules will be given. Moreover, we give a new proof of the classical theorem of Brylinski and improve it by showing its converse.
AB - We study Fourier transforms of regular holonomic -modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic -modules will be given. Moreover, we give a new proof of the classical theorem of Brylinski and improve it by showing its converse.
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U2 - 10.4153/S0008439519000559
DO - 10.4153/S0008439519000559
M3 - Article
AN - SCOPUS:85080982561
SN - 0008-4395
VL - 63
SP - 454
EP - 468
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
IS - 2
ER -