IJPAM: Volume 65, No. 1 (2010)


A HYPERSURFACE OF POINTS WITH


E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Abstract.Let
,
, be a smooth and non-defective subvariety. Here we prove that there is a hypersurface of
formed by points with
-rank
if and only if
is an OADP (a variety with one apparent double point). All such surfaces and three-folds are classified by Ciliberto, Mella and Russo.
Received: June 23, 2010
AMS Subject Classification: 14N05, 14J99
Key Words and Phrases: ranks, tangent developable, variety with OADP
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 1