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On the normal bundles of smooth rational space curves. (English) Zbl 0443.14015


MSC:

14H10 Families, moduli of curves (algebraic)
14H45 Special algebraic curves and curves of low genus
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14M20 Rational and unirational varieties
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References:

[1] [B] Brieskorn, E.: Über holomorphe ? n über ?1. Math. Ann.157, 343-357 (1965) · Zbl 0128.17003 · doi:10.1007/BF02028245
[2] [E-V] Eisenbud, D., Van de Ven, A.: On the family of smooth rational space curves with given degree and normal bundle. · Zbl 0492.14016
[3] [G-H] Griffiths, P.A., Harris, J.: Principles ofalgebraic geometry. New York: Wiley 1978
[4] [G-S] Ghione, F., Sacchiero, G.: Normal bundles of rational curves ?3 (preprint) · Zbl 0496.14021
[5] [Ha] Harris, J.: A note on the normal bundles of space curves (unpublished)
[6] [Hu] Hulek, K.: The normal bundle of a curve on a quadric (preprint. May 1981)
[7] [K] Kodaira, K.: A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds. Ann. Math.75, 146-162 (1962) · Zbl 0112.38404 · doi:10.2307/1970424
[8] [P] Piene, R.: Numerical characters of a curve in projectiven-space. In: Real and complex singularities. Oslo 1976. Groningen: Sijthoff en Noordhoff
[9] [S] Simonis, J.: A class of indecomparable algebraic vector bundles. Math. Ann.192, 262-278 (1971) · doi:10.1007/BF02075356
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