Courbes rationnelles et droites en position générale
type: Item
instance of: scholarly article
title: Courbes rationnelles et droites en position générale
zbMATH Open document ID: 0565.14013
author: Robin Hartshorne
author: André Hirschowitz
publication date: 1985-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74697
review text: 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).\}
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14M20
Mathematics Subject Classification ID: 14H45
zbMATH DE Number: 3900926
zbMATH Keywords: union of a rational curve and lines in projective 3-space
zbMATH Keywords: maximal rank
MaRDI profile type: Publication
OpenAlex ID: W2324288495
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DOI: 10.5802/AIF.1027
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3900926