2000 character limit reached
Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces (2203.05442v2)
Published 10 Mar 2022 in math.AG
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 $\Lambda_1$ and $\Lambda_2$ 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.