Number of points of Prym varieties over finite fields
Marc Perret
TL;DR
This paper provides bounds on the number of rational points that Prym varieties can have over finite fields, contributing to the understanding of their arithmetic properties.
Contribution
It introduces new upper and lower bounds for the rational points of Prym varieties over finite fields.
Findings
Derived explicit bounds for Prym varieties over finite fields
Enhanced understanding of Prym varieties' point distribution
Potential applications in number theory and algebraic geometry
Abstract
We establish some upper and lower bounds for the number of rational points of Prym varieties over finite fields.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Commutative Algebra and Its Applications