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

Published 24 Nov 2025 in math.AG | (2511.19282v1)

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

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