Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On genera of smooth curves
in higher dimensional varieties

Author: Jungkai Alfred Chen
Journal: Proc. Amer. Math. Soc. 125 (1997), 2221-2225
MSC (1991): Primary 14H45, 14H99; Secondary 14H50
MathSciNet review: 1401729
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that for any smooth projective variety $X$ of dimension $\geq 3$, there exists an integer $g_{0}=g_{0}(X)$, such that for any integer $g \geq g_{0}$, there exists a smooth curve $C$ in $X$ with $g(C) = g$.

References [Enhancements On Off] (What's this?)

  • 1. Herbert Clemens, Curves on generic hypersurfaces, Ann. Sci. École Norm. Sup. (4) 19 (1986), no. 4, 629–636. MR 875091
  • 2. R.Lazarsfeld, Lectures on Linear Series, preprints (1994).

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 14H45, 14H99, 14H50

Retrieve articles in all journals with MSC (1991): 14H45, 14H99, 14H50

Additional Information

Jungkai Alfred Chen
Affiliation: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555

Received by editor(s): February 15, 1996
Communicated by: Ron Donagi
Article copyright: © Copyright 1997 American Mathematical Society