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Surfaces associées au plongement canonique des courbes

Published online by Cambridge University Press:  22 January 2016

Jean D’Almeida
Jean D’Almeida*
Affiliation:
U.F.R. de Mathématiques Pures et Appliquées-Bât. M2 U.R.A. au C.N.R.S.D 0751, Université des Sciences et Technologies de Lille, 59655-VILLENEUVE D’ASCQ CEDEX (FRANCE)
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Soit C une courbe canonique de genre g ≥ 4. Le théorème de Enriques-Babbage [ACGH] affirme que l’idéal de C est engendré par (g − 2) (g − 3)/2 hypersurfaces quadriques sauf si C est trigonale ou isomorphe à une quintique plane. Si C est trigonale, elle est tracée sur une surface réglée rationnelle normale dont les génératrices découpent la série trigonale. Si C est isomorphe à une quintique plane lisse, elle est tracée sur une surface de Veronése.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 140 , December 1995 , pp. 33 - 39
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

Bibliographie

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