Courbes rationnelles et droites en position générale
Improving the technique we introduced earlier [cf. Algebraic Geometry, Proc. internat. Conf., La Rabida/Spain 1981, Lect. Notes Math. 961, 169- 188 (1982; Zbl 0255.14011)], we check that the general union of a rational curve and lines in \({\mathbb{P}}^ 3\) is of maximal rank. \{Our result has been extended by \textit{E. Ballico} and \textit{P. Ellia}: ''On the postulation of many disjoint rational curves in \({\mathbb{P}}^ N\), \(N\geq 4''\), Boll. Unione Mat. Ital., VI. Ser., A 4, 585-599 (1985) and by \textit{E. Ballico}: ''On the postulation of disjoint rational curves'' (Preprint, Pisa 1984).\}
union of a rational curve and lines in projective 3-space
scientific article; zbMATH DE number 3900926
scientific article