Some Remarks on Fano Three-Folds of Index Two and Stability Conditions
Some Remarks on Fano Three-Folds of Index Two and Stability Conditions
Abstract We prove that ideal sheaves of lines in a Fano three-fold $X$ of Picard rank one and index two are stable objects in the Kuznetsov component ${\operatorname{\mathsf{Ku}}}(X)$, with respect to the stability conditions constructed by Bayer, Lahoz, Macrì, and Stellari, giving a modular description to the Hilbert scheme of …