Suppose G is a finite group acting on an Abelian variety A such that the coarse moduli space A/G is smooth. Using the recent classification result due to Auffarth, Lucchini Arteche, and Quezada, we construct an orbifold semiorthogonal decomposition for D[A/G] provided G = T H with T a subgroup of translations and H is a subgroup of group automorphisms.
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Lim et al. (2024) studied this question.
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