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• W1968089035 abstract "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 G, and the intermediate Jacobian J(X) is isomorphic to the Jacobian of G. It is proven that, for a generic X, the Abel-Jacobi map of the family of elliptic sextics on X factors through the moduli space of rank-2 vector bundles with c_1=-K_X and deg c_2=6 and that the latter is birational to the singular locus of the theta divisor of J(X)." @default.
• W1968089035 created "2016-06-24" @default.
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• W1968089035 date "2007-01-01" @default.
• W1968089035 modified "2023-09-26" @default.
• W1968089035 title "Parametrization of Sing $Theta$ for a Fano 3-fold of Genus 7 by Moduli of Vector Bundles" @default.
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• W1968089035 doi "https://doi.org/10.4310/ajm.2007.v11.n3.a4" @default.
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