Rational points on K3 surfaces and derived equivalence

TL;DR

This paper explores the relationship between derived equivalence of K3 surfaces over non-closed fields and their arithmetic properties, providing new insights into their rational points.

Contribution

It establishes a connection between derived equivalence and arithmetic aspects of K3 surfaces over non-closed fields, advancing understanding in algebraic geometry and number theory.

Findings

Derived equivalence influences the distribution of rational points.

New criteria for arithmetic equivalence of K3 surfaces.

Insights into the interplay between geometry and arithmetic.

Abstract

We study K3 surfaces over non-closed fields and relate the notion of derived equivalence to arithmetic problems.