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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Stable rank $2$ reflexive sheaves on $\textbf {P}^{3}$ with small $c_{2}$ and applications


Author: Mei-Chu Chang
Journal: Trans. Amer. Math. Soc. 284 (1984), 57-89
MSC: Primary 14F05; Secondary 14H10
DOI: https://doi.org/10.1090/S0002-9947-1984-0742412-8
MathSciNet review: 742412
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Abstract: We investigate the moduli spaces of stable rank two reflexive sheaves on ${{\mathbf {P}}^3}$ with small Chern classes. As an application to curves of low degree in ${{\mathbf {P}}^3}$, we prove the curve has maximal rank and that the corresponding Hilbert scheme is irreducible and unirational.


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Article copyright: © Copyright 1984 American Mathematical Society