The Hrushovski-Lang-Weil estimates

K. V. Shuddhodan; Yakov Varshavsky

doi:https://doi.org/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

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https://doi.org/10.14231/AG-2022-020

Cite this

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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.

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KW - Intersection theory

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ER -

The Hrushovski-Lang-Weil estimates

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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