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arXiv · 2603.11350

Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components

Moritz Hartlieb·Saket Shah
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Abstract

In this note, we generalize results of Donagi and Pantev on twisted derived equivalences between elliptically fibered surfaces to higher dimensions. First, we establish a twisted derived equivalence between torsors under abelian schemes satisfying a certain compatibility condition. Then, relying on the work of Arinkin on compactified Jacobians, we extend the equivalence to twisted compactified Jacobians associated to curves on K3 surfaces. This positively answers a question stated by Mattei and Meinsma. We then extend a result of Bottini and Huybrechts for Fano varieties of lines on cubic fourfolds to general moduli spaces of Bridgeland-stable objects on Kuznetsov components admitting rational Lagrangian fibrations.

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Moritz Hartlieb, Saket Shah. 2026-03-11. Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components. https://arxiv.org/abs/2603.11350

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