The Hrushovski-Lang-Weil estimates

K. V. Shuddhodan; Yakov Varshavsky

doi:10.14231/AG-2022-020

The Hrushovski-Lang-Weil estimates

K. V. Shuddhodan, Yakov Varshavsky

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	651-687
Number of pages	37
Journal	Algebraic Geometry
Volume	9
Issue number	6
DOIs	https://doi.org/10.14231/AG-2022-020
State	Published - Nov 2022

Keywords

Cohomological methods.
Finite fields
Intersection theory

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Access to Document

10.14231/AG-2022-020

Cite this

@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 = "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 = "10.14231/AG-2022-020",

language = "الإنجليزيّة",

volume = "9",

pages = "651--687",

journal = "Algebraic Geometry",

issn = "2313-1691",

publisher = "THE EMS PUBLISHING HOUSE",

number = "6",

}

TY - JOUR

T1 - The Hrushovski-Lang-Weil estimates

AU - Shuddhodan, K. V.

AU - Varshavsky, Yakov

N1 - Publisher Copyright: © 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.

PY - 2022/11

Y1 - 2022/11

N2 - 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.

AB - 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.

KW - Cohomological methods.

KW - Finite fields

KW - Intersection theory

UR - http://www.scopus.com/inward/record.url?scp=85141787145&partnerID=8YFLogxK

U2 - 10.14231/AG-2022-020

DO - 10.14231/AG-2022-020

M3 - مقالة

SN - 2313-1691

VL - 9

SP - 651

EP - 687

JO - Algebraic Geometry

JF - Algebraic Geometry

IS - 6

ER -

The Hrushovski-Lang-Weil estimates

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this