A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds

Abstract

Let $X$ be a Gushel--Mukai threefold and let $\mathrm{Ku}(X)$ be its Kuznetsov component. We show that the Bridgeland moduli spaces of semistable objects in $\mathrm{Ku}(X)$ are normal. Moreover, under certain numerical conditions, if the numerical class is primitive and $X$ is general, we prove that the corresponding Bridgeland moduli space is integral.

20 pages