IJPAM: Volume 65, No. 1 (2010)
ZERO-DIMENSIONAL SUBSCHEMES OF A VARIETY
WHOSE LINEAR SPAN CONTAINS A GIVEN

WHOSE LINEAR SPAN CONTAINS A GIVEN

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.Fix an integral variety
. Its secant varieties
are unions of limits of linear subspaces spanned by reduced subsets of
. Here if
is a smooth curve we identify some of these limits using osculating space. Fix
. We discuss the existence of smoothable zero-dimensional subschemes
such that
and
is low.
Received: September 23, 2010
AMS Subject Classification: 14N05, 14H99
Key Words and Phrases: secant variety, osculating space, associated space, join, zero-dimensional subscheme
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 1