Stability manifolds of Kuznetsov components of prime Fano threefolds

Changping Fan, Zhiyu Liu, Songtao Kenneth Ma

Let $X$ be a cubic threefold, quartic double solid or Gushel--Mukai threefold, and $\mathcal{K}u(X)\subset {\mathrm{D}}^b(X)$ be its Kuznetsov component. We show that a stability con…