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Bridgeland stability of minimal instanton bundles on Fano threefolds

Bridgeland stability of minimal instanton bundles on Fano threefolds

We prove that minimal instanton bundles on a Fano threefold $X$ of Picard rank one and index two are semistable objects in the Kuznetsov component $\mathsf{Ku}(X)$, with respect to the stability conditions constructed by Bayer, Lahoz, Macrì and Stellari. When the degree of $X$ is at least 3, we show …