关于 holonomic D-模 Fourier 变换无穷单性
代数几何
2024-12-10 v2
摘要
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.
引用
@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}
}
备注
29 pages. arXiv admin note: text overlap with arXiv:2311.17395