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Mathematics > Algebraic Geometry

arXiv:1807.09147 (math)
[Submitted on 24 Jul 2018 (v1), last revised 25 Sep 2019 (this version, v4)]

Title:On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules

Authors:Yohei Ito, Kiyoshi Takeuchi
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Abstract:We study Fourier transforms of regular holonomic D-modules. In particular we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic D-modules will be given. Moreover we give a new proof to the classical theorem of Brylinski and improve it by showing its converse.
Comments: 15 pages, to appear in Canad. Math. Bull. arXiv admin note: substantial text overlap with arXiv:1801.07444
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1807.09147 [math.AG]
  (or arXiv:1807.09147v4 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.09147

Submission history

From: Kiyoshi Takeuchi [view email]
[v1] Tue, 24 Jul 2018 14:31:29 UTC (13 KB)
[v2] Mon, 30 Jul 2018 13:58:15 UTC (14 KB)
[v3] Tue, 30 Oct 2018 09:13:21 UTC (15 KB)
[v4] Wed, 25 Sep 2019 16:02:45 UTC (14 KB)
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