Osaka Journal of Mathematics

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

Peter Vermeire

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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.

Article information

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

Dates
First available in Project Euclid: 14 March 2008

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

Mathematical Reviews number (MathSciNet)
MR2416649

Zentralblatt MATH identifier
1135.14012

Subjects
Primary: 14F05: Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20] 14D20: Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13} 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx]

Citation

Vermeire, Peter. The Hilbert scheme of elliptic curves and reflexive sheaves on Fano 3-folds. Osaka J. Math. 45 (2008), no. 1, 85--89. https://projecteuclid.org/euclid.ojm/1205503557


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References

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