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arXiv · 2203.05442

Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces

Hanfei Guo·Zhiyu Liu·Shizhuo Zhang
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Abstract

We identify the double dual EPW sextic $\widetilde{Y}_{A^{\perp}}$ and the double EPW sextic $\widetilde{Y}_A$, associated with a very general Gushel-Mukai fourfold $X$, with the Bridgeland moduli spaces of stable objects of character $Λ_1$ and $Λ_2$ in the Kuznetsov component $\mathcal{K}u(X)$. This provides an affirmative answer to a question of Perry-Pertusi-Zhao. As an application, we prove a conjecture of Kuznetsov-Perry for very general Gushel-Mukai fourfolds.

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Hanfei Guo, Zhiyu Liu, Shizhuo Zhang. 2023-05-05. Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces. https://arxiv.org/abs/2203.05442

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