The ideal generation conjecture for general rational projective curves

We pose a conjecture for the expected number of generators of the ideal of the union C of s general rational irreducible curves in Pr. By using the computer we prove the conjecture for C of low degree d (e.g. if s=1 for d≤80 and if s≤10 for d≤40).

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Bibliographic Details
Published in:Journal of pure and applied algebra 2001-01, Vol.155 (1), p.77-89
Main Author: Orecchia, Ferruccio
Format: Article
Language:English
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Summary:We pose a conjecture for the expected number of generators of the ideal of the union C of s general rational irreducible curves in Pr. By using the computer we prove the conjecture for C of low degree d (e.g. if s=1 for d≤80 and if s≤10 for d≤40).
ISSN:0022-4049
1873-1376
DOI:10.1016/S0022-4049(99)00168-1