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• W2950248895 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.
• W2950248895 created "2019-06-27" @default.
• W2950248895 creator A5064784838 @default.
• W2950248895 creator A5085179121 @default.
• W2950248895 date "2004-03-07" @default.
• W2950248895 modified "2023-09-27" @default.
• W2950248895 title "Parametrization of Sing(Theta) for a Fano 3-fold of genus 7 by moduli of vector bundles" @default.
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• W2950248895 hasPublicationYear "2004" @default.
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