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arXiv · 2511.19282

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

Ruoxi Li
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Abstract

We study the notion of $1$-twisted semi-homogeneous vector bundles on $\mathbb{G}_m$-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.

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Ruoxi Li. 2025-11-24. Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties. https://arxiv.org/abs/2511.19282

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