References
Ciliberto, C.: Alcune applicazioni di un classico procedimento di Castelnuovo.Geometry Seminars (Bologna 1982–83), Università degli Studi di Bologna, 17–43 (1984).
Ciliberto, C., Lazarsfeld, R.: On the uniqueness of certain linear series on some classes of curves. In:Complete Intersections (Acireale 1983).Lecture Notes in Math.1092. Springer, Berlin-New York: 1984, 198–213.
Coppens, M.: Free linear systems on integral Gorenstein curves.J. Algebra 145, 209–218 (1992).
Ellia, Ph., Peskine, C.: Groupes des points de ℙ2: caractere et position uniforme. In:Algebraic Geometry (L’Aquila 1988).Lecture Notes in Math.1417. springer, Berlin-New York: 1990, 111–116.
Greco, S.: Remarks on the postulation of zero-dimensional subschemes of projective space.Math. Ann. 284, 343–351 (1989).
Griffiths, P., Harris, J.: Residues and zero-cycles on algebraic varieties.Ann. of Math. 108, 461–505 (1978).
Gruson, L., Lazarsfeld, R., Peskine, C.: On a theorem of Castelnuovo and the equations defining space curves.Invent. Math. 72, 491–506 (1983).
Maroscia, P.: Some problems and results on finite sets of points in ℙn. In:Algebraic Geometry. Open problems (Ravello 1982).Lecture Notes in Math.997 Springer, Berlin-New York: 1983, 290–314.
Mumford, D.: Rational equivalence of O-cycles on surfaces.J. Math. Kyoto Univ. 9, 195–204 (1969).
O’Grady, K.: Algebro-geometric analogues of Donaldson’s polynomials.Invent. Math. 107, 351–395 (1992).
Paoletti, R.: Free pencils on divisors.Preprint.
Reider, I.: Some applications of Bogomolov theorem. In:Problems in the theory of surfaces and their classification, Symposia Mathematica XXXII,Catanese, Ciliberto and Cornalba, editors. Academic Press: 1991, 367–410.
Tyurin, A.N.: Symplectic structures on the variety of moduli of vector bundles on algebraic surfaces withp g >0.Math. USSR Izv. 33, 139–177 (1989).
Voisin, C.: Variations de structure de Hodge et zéro-cycles sur les surfaces générales.Preprint.
Xu, G.: Subvarieties of general hypersurfaces in projective space.Ph.D. Thesis U.C. L.A. 1992.
Zak, F.L.: Structure of Gauss maps.Functional Anal. Appl. 21, 32–41 (1987).
Author information
Authors and Affiliations
Additional information
Research partially supported by the MURST national project “Geometria Algebrica”, the authors are members of GNSAGA of CNR.
Rights and permissions
About this article
Cite this article
Lopez, A.F., Pirola, G.P. On the curves through a general point of a smooth surface in ℙ3 . Math Z 219, 93–106 (1995). https://doi.org/10.1007/BF02572352
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02572352