IJPAM: Volume 70, No. 4 (2011)
SUBSCHEMES OF A VERONESE EMBEDDING OF
THE PLANE WHOSE LINEAR SPAN MEET
THE PLANE WHOSE LINEAR SPAN MEET
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 the order
Veronese embedding of
. We give a necessary and sufficient condition for the existence of schemes
and
such that
and
is not contained in the linear span of a scheme strictly contained in either
or
.
Received: November 5, 2010
AMS Subject Classification: 14N05
Key Words and Phrases: -rank, Veronese embedding, Veronese surface, zero-dimensional scheme
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 4