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 | |
| State | Published - Nov 2022 |
Bibliographical note
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.
Keywords
- Cohomological methods.
- Finite fields
- Intersection theory