@article{e2d9a717cf1a488588ad28e0f67100ec,
title = "The Hrushovski-Lang-Weil estimates",
abstract = "In this work, we give an algebro-geometric proof of Hrushovski's generalization of the Lang-Weil estimates on the number of points in the intersection of a correspondence with the graph of the Frobenius map. This result has numerous applications to various areas of mathematics, including model theory, algebraic dynamics, group theory and arithmetic algebraic geometry.",
keywords = "Cohomological methods., Finite fields, Intersection theory",
author = "Shuddhodan, {K. V.} and Yakov Varshavsky",
note = "Funding Information: Received 22 August 2021, accepted in final form 16 April 2022. 2020 Mathematics Subject Classification 14G17 (primary), 14C17 (secondary). Keywords: intersection theory, finite fields, cohomological methods. This journal is {\textcopyright} Foundation Compositio Mathematica 2022. This article is distributed with Open Access under the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse, distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial re-use, please contact the Foundation Compositio Mathematica. This work was supported by the Israel Science Foundation (Grant No. 1017/13). Publisher Copyright: {\textcopyright} Foundation Compositio Mathematica 2022. This article is distributed with Open Access under the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse, distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial re-use, please contact the Foundation Compositio Mathematica.",
year = "2022",
month = nov,
doi = "https://doi.org/10.14231/AG-2022-020",
language = "American English",
volume = "9",
pages = "651--687",
journal = "Algebraic Geometry",
issn = "2313-1691",
publisher = "THE EMS PUBLISHING HOUSE",
number = "6",
}