论文标题

Gushel-Mukai四倍,EPW Sextics和Bridgeland Moduli空间

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

论文作者

Guo, Hanfei, Liu, Zhiyu, Zhang, Shizhuo

论文摘要

我们确定双重双EPW Sextic $ \ wideTilde {y} _ {a^{a^{\ perp}} $和双epw sextic $ \ wideTilde {y} _a $,与非常通用的gushel-mukai fourd $ x $相关,与bridgeland moduli moduli moduli moduli moduli moduli moduli moduli moduli modulieptallip。 kuznetsov组件$ \ Mathcal {k} u(x)$。这为Perry-Pertusi-Zhao的问题提供了肯定的答案。作为应用程序,我们证明了Kuznetsov-Perry的猜想是非常通用的Gushel-Mukai四倍。

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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