On the resolution of a curve lying on a smooth cubic surface in 𝑃³-Reference-Cited by-同舟云学术

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On the resolution of a curve lying on a smooth cubic surface in 𝑃³

Published:1992 Issue:1 Volume:331 Page:181-201
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Giuffrida Salvatore,Maggioni Renato

Abstract

Let C C be any reduced and irreducible curve lying on a smooth cubic surface in P 3 {\mathbb {P}^3} . In this paper we determine the graded Betti numbers of the ideal sheaf J C {\mathcal {J}_C} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1992-331-01/S0002-9947-1992-1036002-4/S0002-9947-1992-1036002-4.pdf

Reference21 articles.

1. Standard bases of perfect homogeneous polynomial ideals of height 2;Campanella, Giulio;J. Algebra,1986

2. Sur le schéma de Hilbert des variétés de codimension 2 dans 𝑃^{𝑒} à cône de Cohen-Macaulay;Ellingsrud, Geir;Ann. Sci. \'{E}cole Norm. Sup. (4),1975

3. Hilbert function of a 0-cycle in 𝑃²;Giuffrida, Salvatore;Matematiche (Catania),1985

4. The Hilbert function of a curve lying on a smooth cubic surface;Giuffrida, Salvatore;Ann. Mat. Pura Appl. (4),1988

5. Hyperplane sections of a smooth curve in 𝑃³;Geramita, A. V.,1988

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