On the monodromies at infinity of Fourier transforms of holonomic D-modules
Algebraic Geometry
2024-12-10 v2
Abstract
Based on the recent progress in the irregular Riemann-Hilbert correspondence, we study the monodromies at infinity of the holomorphic solutions of Fourier transforms of holonomic D-modules in some situations. Formulas for their eigenvalues are obtained by applying the theory of monodromy zeta functions to our previous results on the enhanced solution complexes of the Fourier transforms. In particular, in dimension one we thus find a reciprocity law between the monodromies at infinity of holonomic D-modules and their Fourier transforms.
Keywords
Cite
@article{arxiv.2409.00423,
title = {On the monodromies at infinity of Fourier transforms of holonomic D-modules},
author = {Kazuki Kudomi and Kiyoshi Takeuchi},
journal= {arXiv preprint arXiv:2409.00423},
year = {2024}
}
Comments
29 pages. arXiv admin note: text overlap with arXiv:2311.17395