Authors: Atanas Iliev
Publish Date: 2003/07/16
Volume: 112, Issue: 1, Pages: 29-53
Abstract
By a result of Mukai the nonabelian BrillNoether locus X=M C 2 K 3F of type II defined by a stable rank 2 vector bundle F of invariant 3 over a plane quartic curve C is a prime Fano 3fold X=X16 of degree 16 The associate ruled surface S X =PF is uniquely defined by X and we see that for the general X=X16 S X is isomorphic to the Fano surface of conics on X The argument uses the geometry of the Sp 3 grassmannian and the double projection from a line on X16
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