Translator Disclaimer
2017 Existence of compatible systems of lisse sheaves on arithmetic schemes
Koji Shimizu
Algebra Number Theory 11(1): 181-211 (2017). DOI: 10.2140/ant.2017.11.181

Abstract

Deligne conjectured that a single -adic lisse sheaf on a normal variety over a finite field can be embedded into a compatible system of -adic lisse sheaves with various . Drinfeld used Lafforgue’s result as an input and proved this conjecture when the variety is smooth. We consider an analogous existence problem for a regular flat scheme over and prove some cases using Lafforgue’s result and the work of Barnet-Lamb, Gee, Geraghty, and Taylor.

Citation

Download Citation

Koji Shimizu. "Existence of compatible systems of lisse sheaves on arithmetic schemes." Algebra Number Theory 11 (1) 181 - 211, 2017. https://doi.org/10.2140/ant.2017.11.181

Information

Received: 22 February 2016; Revised: 19 October 2016; Accepted: 17 November 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1361.11045
MathSciNet: MR3602768
Digital Object Identifier: 10.2140/ant.2017.11.181

Subjects:
Primary: 11G35
Secondary: 11F80

Rights: Copyright © 2017 Mathematical Sciences Publishers

JOURNAL ARTICLE
31 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.11 • No. 1 • 2017
MSP
Back to Top