English

A Riemann-Hilbert correspondence in positive characteristic

Algebraic Geometry 2017-11-15 v1 Commutative Algebra
Authors: Bhargav Bhatt , Jacob Lurie
View on arXiv ↗ PDF ↗

Abstract

We explain a version of the Riemann-Hilbert correspondence for pp-torsion \'etale sheaves on an arbitrary Fp\mathbf{F}_p-scheme.

Keywords

riemann-hilbert correspondence positive characteristic etale sheaves f_p-scheme p-torsion

Cite

@article{arxiv.1711.04148,
  title  = {A Riemann-Hilbert correspondence in positive characteristic},
  author = {Bhargav Bhatt and Jacob Lurie},
  journal= {arXiv preprint arXiv:1711.04148},
  year   = {2017}
}

Comments

132 pages, comments welcome

Related papers

View all related →
Algebraic Geometry · Mathematics
The mod $p$ Riemann-Hilbert correspondence and the perfect site
Akhil Mathew
2023-06-07
Algebraic Geometry · Mathematics
Applications of perverse sheaves in commutative algebra
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag K. Singh +1
2025-03-26
Symplectic Geometry · Mathematics
$\hbar$-Riemann-Hilbert correspondence
Tatsuki Kuwagaki
2022-02-10
Algebraic Geometry · Mathematics
$p$-torsion \'etale sheaves on the Jacobian of a curve
Yifei Zhao
2022-04-04
K-Theory and Homology · Mathematics
K-theory of semi-linear endomorphisms via the Riemann-Hilbert correspondence
Oliver Braunling
2016-10-13
Algebraic Geometry · Mathematics
A Riemann-Hilbert correspondence for Cartier crystals
Tobias Schedlmeier
2018-12-04
Algebraic Geometry · Mathematics
Deligne's conjecture on the Lefschetz trace formula for $p^n$-torsion \'etale cohomology
Megumi Takata
2012-05-09
Algebraic Geometry · Mathematics
Riemann-Hilbert correspondence for irregular holonomic D-modules
Masaki Kashiwara
2015-12-25
Algebraic Geometry · Mathematics
On smooth adic spaces over $\mathbb{B}_{\mathrm{dR}}^+$ and sheafified $p$-adic Riemann--Hilbert correspondence
Jiahong Yu
2026-01-13
Algebraic Geometry · Mathematics
The derived Riemann-Hilbert correspondence
Mauro Porta
2017-03-14
Algebraic Geometry · Mathematics
Riemann-Hilbert correspondence for holonomic D-modules
Andrea D'Agnolo, Masaki Kashiwara
2019-07-25
Algebraic Geometry · Mathematics
Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves
Mao Li, Hao Sun
2024-04-25
Algebraic Geometry · Mathematics
A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms
Yota Shamoto
2026-04-21
Algebraic Geometry · Mathematics
Arithmetic properties of homogeneous Hilbert curves
E. Estevez-Rams, I. Brito-Reyes
2013-11-13
Algebraic Geometry · Mathematics
The Riemann-Hilbert Correspondence for Algebraic Stacks
Alexander Paulin
2013-08-28
Algebraic Geometry · Mathematics
Foliations on smooth algebraic surfaces over positive characteristic
Wodson Mendson
2022-06-16
Algebraic Geometry · Mathematics
A framework for torsion theory computations on elliptic threefolds
David Angeles, Jason Lo, Courtney van der Linden
2021-07-01
Algebraic Geometry · Mathematics
A Riemann-Hurwitz Theorem for the Algebraic Euler Characteristic
Andrew Fiori
2017-04-20
Algebraic Geometry · Mathematics
Notes on the motivic McKay correspondence for the group scheme $\alpha_{p}$
Fabio Tonini, Takehiko Yasuda
2024-02-27
Algebraic Geometry · Mathematics
Logarithmic Riemann-Hilbert correspondences for rigid varieties
Hansheng Diao, Kai-Wen Lan, Ruochuan Liu, Xinwen Zhu
2022-11-01
Algebraic Geometry · Mathematics
Relative Regular Riemann-Hilbert correspondence II
Luisa Fiorot, Teresa Monteiro Fernandes, Claude Sabbah
2024-02-13
Algebraic Geometry · Mathematics
Cohomologically smooth morphisms for \'etale $\mathbb F_p$-sheaves in characteristic $p$
Felix Lotter
2024-03-19
Algebraic Geometry · Mathematics
Note On The Algebraic Irregular Riemann-Hilbert Correspondence
Yohei Ito
2020-06-26
Algebraic Geometry · Mathematics
Shuffle algebras associated to surfaces
Andrei Neguţ
2021-12-13
Algebraic Geometry · Mathematics
The DT/PT correspondence for smooth curves
Andrea T. Ricolfi
2018-01-16