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

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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.

Original languageEnglish
Pages (from-to)85-89
Number of pages5
JournalOsaka Journal of Mathematics
Volume45
Issue number1
StatePublished - Mar 2008

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