IJPAM: Volume 57, No. 4 (2009)
POSTULATION OF GENERAL UNIONS IN
,
, OF A RATIONAL CURVE AND A FEW PLANES


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.Here we prove the existence
of an integer with
the following property. Let
be a general union of
planes and a degree
smooth rational cuve. Let
be the minimal integer such that
. Assume
. Then
has the expected postulation. We
extend the result to
,
, when the planes are either disjoint or contained in a
-dimensional linear subspace.
Received: November 3, 2009
AMS Subject Classification: 14N05
Key Words and Phrases: postulation, unions of planes, planes in
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 4