Ghione, Franco Quelques résultats de Corrado Segre sur les surfaces reglées. (French) Zbl 0435.14010 Math. Ann. 255, 77-95 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 6 Documents MSC: 14J25 Special surfaces 14C20 Divisors, linear systems, invertible sheaves 14C22 Picard groups Keywords:general ruled surface; scheme of unisecant divisors; line bundles; Picard scheme PDFBibTeX XMLCite \textit{F. Ghione}, Math. Ann. 255, 77--95 (1981; Zbl 0435.14010) Full Text: DOI EuDML References: [1] Castelnuovo, G.: Una applicazione della geometria enumerativa alle curve algebriche. Rerd. Circ. Mat. Palermo3, 4 (1889) · JFM 21.0674.02 [2] Ghione, F., Lascu, A.: Unisecant curves on a general ruled surface. Manuscripta math.26, 169-177 (1978) · Zbl 0405.14004 · doi:10.1007/BF01167972 [3] Grothendieck, A.: Technique de descente et théorème d’existence en géométrie algébrique. V Séminaire Bourbaks232, 1961-1962 [4] Hartshorne, R.: Ample vector bundle. Publ. Math. IHES29, 63-94 (1966) · Zbl 0173.49003 [5] Hartshorne, R.: Ample subvarieties of algebraic varieties. Lectures Notes in Mathematics, Vol. 156. Berlin, Heidelberg, New York: Springer 1970 · Zbl 0208.48901 [6] Hartshorne, R.: Algebraic geometry. Graduate Texts in Mathematics, Vol. 52. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0367.14001 [7] Kleiman, S., Laksov, D.: Another proof of the existence of special divisors. Acta Math.132, 163-176 (1974) · Zbl 0286.14005 · doi:10.1007/BF02392112 [8] Maruyama, M., Nagata, M.: Note on the structure of a ruled surface. J. reine angew. Math.239, 68-73 (1969) · Zbl 0184.46802 [9] Mattuck, A.: On symmetric product of curves. Proc. Am. Math. Soc.13, 82-87 (1966) · Zbl 0142.18702 · doi:10.1090/S0002-9939-1962-0136608-7 [10] Mumford, D.: Lectures on curves on an algebraic surface. Princeton: Princeton University Press 1966 · Zbl 0187.42701 [11] Nagata, M.: On self-intersection number of a section on a ruled surface. Nagoya Math. J.37, 191-196 (1970) · Zbl 0193.21603 [12] Segre, C.: Recherches générales sur les courbes et les surfaces réglées algébriques. II. Math. Ann.34, 1-25 (1889) · JFM 21.0664.01 · doi:10.1007/BF01446790 [13] Severi, F.: Sulla classificazione delle rigate algebriche. Rend. Mat.2, 1-32 (1941) · Zbl 0024.34301 [14] Shafarevich, I.R.: Algebraic surfaces. Proc. Steklov Inst. Math.75, (1965) · Zbl 0154.21001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.