Counting points with Berglund-Huebsch-Krawitz mirror symmetry
Ursula Whitcher
TL;DR
This paper discusses how Berglund-Huebsch-Krawitz mirror symmetry can be used to understand the counting of points on algebraic varieties over finite fields, providing insights into their structure.
Contribution
It offers an expository overview of recent methods applying mirror symmetry to analyze point counts on algebraic varieties over finite fields.
Findings
Connection between mirror symmetry and point counting established
Structural insights into algebraic varieties over finite fields
Framework for future research in arithmetic geometry
Abstract
We give an expository discussion of recent work using Berglund-Huebsch-Krawitz mirror symmetry to describe the structure of point counts on algebraic varieties over finite fields.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Coding theory and cryptography · Advanced Algebra and Geometry