IJPAM: Volume 20, No. 1 (2005)

PROJECTIVE VARIETIES CONTAINING
NO NON-REFLEXIVE CURVE

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Let $X \subset {\bf {P}}^n$ be an integral variety. Here we give conditions on $X$ which allow us to describe all non-reflexive curves $C \subset X$ (e.g. to show that $X$ contains no non-reflexive curve).

Received: February 2, 2005

AMS Subject Classification: 14H99, 14N05

Key Words and Phrases: reflexive curve, non-reflexive curve, tangent line, surface of general type

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 1