English

Irregular Riemann-Hilbert Correspondence and Enhanced Subanalytic Sheaves

Algebraic Geometry 2023-10-31 v1

Abstract

In [arXiv:2109.13991], the author explained a relation between enhanced ind-sheaves and enhanced subanalytic sheaves. In this paper, we shall define C-constructability for enhanced subanalytic sheaves which was announced in [arXiv:2109.13991], and show that there exists an equivalence of categories between the triangulated category of C-constructible enhanced subanalytic sheaves and the one of holonomic D-modules.

Keywords

Cite

@article{arxiv.2310.19501,
  title  = {Irregular Riemann-Hilbert Correspondence and Enhanced Subanalytic Sheaves},
  author = {Yohei Ito},
  journal= {arXiv preprint arXiv:2310.19501},
  year   = {2023}
}

Comments

28 pages. arXiv admin note: text overlap with arXiv:2301.01138, arXiv:2109.13991, arXiv:2004.13518