Parametrization of Sing $\Theta$ for a Fano 3-fold of Genus 7 by Moduli of Vector Bundles
Parametrization of Sing $\Theta$ for a Fano 3-fold of Genus 7 by Moduli of Vector Bundles
According to Mukai, any prime Fano threefold X of genus 7 is a linear section of the spinor tenfold in the projectivized half-spinor space of Spin(10).The orthogonal linear section of the spinor tenfold is a canonical genus-7 curve Γ, and the intermediate Jacobian J(X) is isomorphic to the Jacobian of …