On traces of Frobenius endomorphisms
Igor Nikolaev
TL;DR
This paper links the point counting of projective varieties over finite fields to invariants of Serre C*-algebras, providing a new algebraic approach to understanding Frobenius endomorphisms.
Contribution
It introduces a novel method connecting Frobenius traces with Serre C*-algebra invariants for projective varieties.
Findings
Expressed point counts via Serre C*-algebra invariants
Established a new algebraic framework for Frobenius endomorphisms
Potential applications in algebraic geometry and number theory
Abstract
We compute the number of points of projective variety V over a finite field in terms of invariants of the so-called Serre C*-algebra of V.
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