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

Giuffrida, Salvatore; Maggioni, Renato

doi:10.1090/S0002-9947-1992-1036002-4

On the resolution of a curve lying on a smooth cubic surface in $\textbf {P}^ 3$
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by Salvatore Giuffrida and Renato Maggioni PDF

Trans. Amer. Math. Soc. 331 (1992), 181-201 Request permission

Abstract:

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

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