Moduli of stable sheaves on a smooth quadric and a Brill-Noether locus |
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Authors: | Sukmoon Huh |
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Affiliation: | Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, Republic of Korea |
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Abstract: | We prove that the moduli space of stable sheaves of rank 2 with the Chern classes c1=OQ(1,1) and c2=2 on a smooth quadric Q in P3 is isomorphic to P3. Using this identification, we give a new proof that a Brill-Noether locus, defined as the closure of the stable bundles with at least three linearly independent sections, on a non-hyperelliptic curve of genus 4, is isomorphic to the Donagi-Izadi cubic threefold. |
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Keywords: | 14D20 14E05 |
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