@inproceedings{2546639ab46f4eb2b6c4144dc30ddc34,
title = "Bounding ramification by covers and curves",
abstract = "We prove that¯Qℓ-local systems of bounded rank and ramification on a smooth variety X defined over an algebraically closed field k of characteristic p ≠ ℓ are tamified outside of codimension 2 by a finite separable cover of bounded degree. In rank one, there is a curve which preserves their monodromy. There is a curve defined over the algebraic closure of a purely transcendental extension of k of finite degree which fulfills the Lefschetz theorem.",
author = "H{\'e}l{\`e}ne Esnault and Vasudevan Srinivas",
note = "Publisher Copyright: {\textcopyright} 2021 American Mathematical Society.; Linde Hall Inaugural Math Symposium, 2019 ; Conference date: 22-02-2019 Through 24-02-2019",
year = "2021",
doi = "10.1090/pspum/104/01872",
language = "English",
isbn = "9781470454906",
series = "Proceedings of Symposia in Pure Mathematics",
publisher = "American Mathematical Society",
pages = "31--43",
editor = "A. Kechris and N. Makarov and D. Ramakrishnan and X. Zhu",
booktitle = "Nine Mathematical Challenges - An Elucidation",
address = "United States",
}