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La Rationalité des schémas de Hilbert de courbes gauches rationnelles suivant Katsylo

Part of the Lecture Notes in Mathematics book series (LNM,volume 1389)

Keywords

  • Modulus Space
  • Comme Suit
  • Hyperelliptic Curve
  • Space Curf
  • Rational Space

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Bibliographie

  1. E. BALLICO: On the rationality of the variety of smooth rational space curves with fixed degree and normal bundle. Proc. Amer. Math. Soc. 91 (1984) 510–512.

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  2. F.A. BOGOMOLOV: Rationality of the moduli of hyperelliptic curves of arbitrary genus. Canadian Math. Soc. Conference Proceedings 6 (1986) 17–37.

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  3. F.A. BOGOMOLOV-P. KATSYLO: Rationality of certain quotient varieties. Math. Sbornik 126(168) (1985) 584–589. Math. of the USSR Sbornik 54 (1986) 571–576.

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  4. J. DIXMIER-M. RAYNAUD: Sur le quotient d'une variété algébrique par un groupe algébrique. Mathematical Analysis and Applications, Part A, 327–344, Adv. in Math. Suppl. Stud., 7a, Academic Press, New-York-London, 1981.

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  5. I. DOLGACHEV: Rationality of fields of invariants. Algebraic Geometry Bowdoin 1985. Proc. of Symp. in Pure Math. 46, 2 (1987) 3–16.

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  6. D. EISENBUD-A. VAN DE VEN: On the Variety of Smooth rational space curves with given degree and normal bundle. Invent. Math. 67 (1982) 89–100.

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  7. P. KATSYLO: Rationality of the moduli spaces of hyperelliptic curves. Izv. Akad. Nauk SSSR Ser. Mat. 48 (1984) 705–710.

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© 1989 Springer-Verlag

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Hirschowitz, A. (1989). La Rationalité des schémas de Hilbert de courbes gauches rationnelles suivant Katsylo. In: Ballico, E., Ciliberto, C. (eds) Algebraic Curves and Projective Geometry. Lecture Notes in Mathematics, vol 1389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085926

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  • DOI: https://doi.org/10.1007/BFb0085926

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