Stable rank $2$ reflexive sheaves on $\textbf {P}^{3}$ with small $c_{2}$ and applications
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- by Mei-Chu Chang PDF
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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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- 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