English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  The monodromy groups of lisse sheaves and overconvergent F-isocrystals

D’Addezio, M. (2020). The monodromy groups of lisse sheaves and overconvergent F-isocrystals. Selecta Mathematica, 26(3): 45. doi:10.1007/s00029-020-00569-3.

Item is

Basic

show hide
Genre: Journal Article
Latex : The monodromy groups of lisse sheaves and overconvergent $F$-isocrystals

Files

show Files
hide Files
:
arXiv:1711.06669.pdf (Preprint), 483KB
Name:
arXiv:1711.06669.pdf
Description:
File downloaded from arXiv at 2020-07-20 09:10
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
DAddezio_The monodromy groups of lisse sheaves and overconvergent F-isocrystals_2020.pdf (Publisher version), 621KB
Name:
DAddezio_The monodromy groups of lisse sheaves and overconvergent F-isocrystals_2020.pdf
Description:
-
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Locators

show
hide
Locator:
https://doi.org/10.1007/s00029-020-00569-3 (Publisher version)
Description:
-
OA-Status:

Creators

show
hide
 Creators:
D’Addezio, Marco1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

Content

show
hide
Free keywords: Mathematics, Number Theory, Algebraic Geometry
 Abstract: It has been proven by Serre, Larsen-Pink and Chin, that over a smooth curve
over a finite field, the monodromy groups of compatible semi-simple pure lisse
sheaves have "the same" $\pi_0$ and neutral component. We generalize their
results to compatible systems of semi-simple lisse sheaves and overconvergent
$F$-isocrystals over arbitrary smooth varieties. For this purpose, we extend
the theorem of Serre and Chin on Frobenius tori to overconvergent
$F$-isocrystals. To put our results into perspective, we briefly survey recent
developments of the theory of lisse sheaves and overconvergent $F$-isocrystals.
We use the Tannakian formalism to make explicit the similarities between the
two types of coefficient objects.

Details

show
hide
Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 41
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Selecta Mathematica
  Abbreviation : Selecta Math.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Birkhäuser
Pages: - Volume / Issue: 26 (3) Sequence Number: 45 Start / End Page: - Identifier: -