English

Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties

Algebraic Geometry 2026-03-25 v3

Abstract

We study the notion of 11-twisted semi-homogeneous vector bundles on Gm\mathbb{G}_m-gerbes over abelian varieties, and classify point objects in the twisted derived categories of abelian varieties. As an application, we classify the twisted Fourier-Mukai partners of abelian varieties.

Keywords

Cite

@article{arxiv.2511.19282,
  title  = {Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties},
  author = {Ruoxi Li},
  journal= {arXiv preprint arXiv:2511.19282},
  year   = {2026}
}