Derived category invariants and L-series

TL;DR

This paper explores the connection between derived category invariants from finite group actions on projective varieties over finite fields and the zeros of associated L-functions.

Contribution

It establishes a relationship between derived category invariants and L-series zeros, providing new insights into their interplay in algebraic geometry and number theory.

Findings

Derived invariants are linked to zeros of L-functions.

Finite group actions influence the structure of derived categories.

Results suggest new avenues for understanding L-series through geometric invariants.

Abstract

We relate invariants in derived categories associated to tame actions of finite groups on projective varieties over a finite field to zeros of L-functions