Vector bundles on Fano varieties of genus ten

Details Vector bundles on Fano varieties of genus ten Vector bundles on Fano varieties of genus ten

2010-05-30

arxiv.org/abs/1005.5528v2

Mathematics

Algebraic Geometry

19 pages, revised and expanded

Scientific paper

In this note we describe a unique linear embedding of a prime Fano 4-fold F of genus 10 into the Grassmannian G(3,6). We use this to construct some moduli spaces of bundles on linear sections of F. In particular the moduli space of bundles with Mukai vector (3,L,3) on a generic polarized K3 surface (S,L) of genus 10 is constructed as a double cover of the projective plane branched over a smooth sextic.

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