The Hrushovski-Lang-Weil estimates
K. V. Shuddhodan, Yakov Varshavsky
TL;DR
This paper provides a geometric proof of Hrushovski's generalization of the Lang-Weil estimates, which count points in intersections involving Frobenius graphs, advancing understanding in algebraic geometry and finite fields.
Contribution
It offers a new geometric proof of a significant generalization of Lang-Weil estimates by Hrushovski, enhancing theoretical understanding.
Findings
Established a geometric proof of Hrushovski's estimates
Extended Lang-Weil estimates to more general correspondences
Improved theoretical framework for counting points over finite fields
Abstract
In this work we give a 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 Frobenius.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Algebraic Geometry and Number Theory