Vector bundles on Fano threefolds of genus 7 and Brill–Noether loci
Vector bundles on Fano threefolds of genus 7 and Brill–Noether loci
Let X be a smooth prime Fano threefold of genus 7 and let Γ be its homologically projectively dual curve. We prove that, for d ≥ 6, an irreducible component of the moduli scheme M X (2, 1, d) of rank-2 stable sheaves on X with c 1 = 1, …