The Hilbert scheme of elliptic curves and reflexive sheaves on Fano 3-folds



Osaka Journal of Mathematics

The Hilbert scheme of elliptic curves and reflexive sheaves on Fano 3-folds

Peter Vermeire

Source: Osaka J. Math. Volume 45, Number 1 (2008), 85-89.

Abstract

We study the cohomological properties of reflexive rank 2 sheaves on smooth projective threefolds. Applications are given to the relationship between moduli of reflexive sheaves and Hilbert schemes of associated elliptic curves on Fano threefolds.

Primary Subjects: 14F05, 14D20, 14J60

Full-text: Access granted (open access)

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Permanent link to this document: http://projecteuclid.org/euclid.ojm/1205503557


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