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Mathematics > Algebraic Geometry

arXiv:1808.01037 (math)
[Submitted on 2 Aug 2018 (v1), last revised 1 Jul 2021 (this version, v3)]

Title:Stokes shells and Fourier transforms

Authors:Takuro Mochizuki
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Abstract:Related to local systems with Stokes structure, we introduce two notions of Stokes shells and extensions. Then, we apply them to study the Fourier transform of holonomic $D$-modules on a complex projective line. Namely, we explicitly describe the Stokes structure at infinity of the Fourier transform of such $D$-modules as a successive extension of local systems with Stokes structure which are constructed in terms of Stokes shells.
Comments: The introduction has been revised
Subjects: Algebraic Geometry (math.AG); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)
MSC classes: 14F10, 34M40, 32C38
Cite as: arXiv:1808.01037 [math.AG]
  (or arXiv:1808.01037v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1808.01037

Submission history

From: Takuro Mochizuki [view email]
[v1] Thu, 2 Aug 2018 22:12:41 UTC (123 KB)
[v2] Tue, 8 Dec 2020 10:23:16 UTC (166 KB)
[v3] Thu, 1 Jul 2021 04:04:48 UTC (167 KB)
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