×

Generic curves of small genus in \(P^3\) are of maximal rank. (English) Zbl 0501.14017


MSC:

14H45 Special algebraic curves and curves of low genus
14E25 Embeddings in algebraic geometry
14N05 Projective techniques in algebraic geometry
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Ballico, E., Ellia, Ph.: On degeneration of projective curves. Proceedings of the Ravello Conference: On open problems in algebraic geometry. Ravello, 1982 (to appear) · Zbl 0512.14017
[2] Ballico, E., Ellia, Ph.: On projective curves embedded by complete linear systems (preprint) · Zbl 0512.14017
[3] Eisenbud, D., Harris, J.: Divisors on general curves and cuspidal rational curves (preprint) · Zbl 0527.14022
[4] Hartshorne, R.: Algebraic geometry. Graduate Texts in Mathematics, Vol. 52. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0367.14001
[5] Hartshorne, R., Hirschowitz, A.: Droites en position générale dans l’espace projectif. In: Algebraic geometry. Proceedings, La Rabida 1981. Lecture Notes in Mathematics, Vol. 961. Berlin, Heidelberg, New York: Springer 1982 · Zbl 0555.14011
[6] Hirschowitz, A.: Sur la postulation générique des courbes rationnelles. Acta Math.146, 209-230 (1981) · Zbl 0475.14027
[7] Homma, M.: On projective normality and defining equations of a projective curve of genus three.... Tsukuba J. Math.4, 269-279 (1980) · Zbl 0473.14015
[8] Iarrobino, A.: Surjectivity of ? n :V n ?R nj (submitted for publication)
[9] Kleiman, S.: On the transversality of a general translate. Compositio Math.28, 287-297 (1974) · Zbl 0288.14014
[10] Tannenbaum, A.: Deformation of space curves. Arch. Math.34, 37-42 (1980) · Zbl 0414.14016
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.