Point Objects on Abelian Varieties

TL;DR

This paper classifies point objects in the derived category of torsors under abelian varieties over fields of characteristic zero, providing a foundational understanding of their structure.

Contribution

It offers a complete classification of point objects in the derived category of torsors under abelian varieties, a novel result in algebraic geometry.

Findings

Classification of point objects in $D(X)$ for torsors under abelian varieties

Structural insights into derived categories of algebraic torsors

Advancement in understanding derived categories in algebraic geometry

Abstract

We classify the point objects in the derived category $D(X)$ of a torsor under an abelian variety over a field of characteristic $0$.