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math.AG2002
Elliptic curves and rank-2 vector bundles on the prime Fano threefold of genus 7
A. Iliev, D. Markushevich
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). It is proven that the moduli…
math.AG2002
The Sp3-grassmannian and duality for prime Fano threefolds of genus 9
Atanas Iliev
By a result of Mukai, the non-abelian Brill-Noether 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 p…
math.AG2002★ 3 cited
Geometry of the Lagrangian Grassmannian Sp(3)/U(3) with applications to Brill-Noether loci
Atanas Iliev, Kristian Ranestad
The geometry of Sp(3)/U(3) as a subvariety of Gr(3,6) is explored to explain several examples given by Mukai of non-abelian Brill-Noether loci, and to give some new examples. These…