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arXiv · 2112.04769

Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor

Laura Pertusi·Ethan Robinett
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Abstract

We show that the stability conditions on the Kuznetsov component of a Gushel-Mukai threefold, constructed by Bayer, Lahoz, Macr\`i and Stellari, are preserved by the Serre functor, up to the action of the universal cover of $\text{GL}^+_2(\mathbb{R})$. As application, we construct stability conditions on the Kuznetsov component of special Gushel-Mukai fourfolds.

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Laura Pertusi, Ethan Robinett. 2021-12-09. Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor. https://arxiv.org/abs/2112.04769

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