Dimension des familles de courbes lisses sur une surface quartique normale de $\mathbb {P}3$
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- by Sébastien Guffroy PDF
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Abstract:
Dans cette note, on montre que les courbes, lisses connexes, de degré $d$ et genre $g$, tracées sur une surface quartique normale variable de $\mathbb {P}_3$, et n’y étant pas intersection complète, forment des familles de dimensions $\leq g+33$. Cette majoration est la meilleure possible. Comme application on prouve que le schéma de Hilbert des courbes lisses connexes de $\mathbb {P}_3$ de degré $12$ et genre $13$ est irréductible.References
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Additional Information
- Sébastien Guffroy
- Affiliation: Dipartimento di Matematica, Università degli Studi di Genova, Via Dodecaneso, 35. 16146 Genova, Italia
- Email: guffroy@math.univ-lille1.fr
- Received by editor(s): June 1, 2005
- Received by editor(s) in revised form: August 23, 2006
- Published electronically: July 27, 2007
- Communicated by: Michael Stillman
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 3499-3505
- MSC (2000): Primary 14J17, 14N15
- DOI: https://doi.org/10.1090/S0002-9939-07-08966-6
- MathSciNet review: 2336563