IJPAM: Volume 57, No. 4 (2009)
POSTULATION OF DISJOINT UNIONS OF
LINES AND A FIXED SUBSCHEME
LINES AND A FIXED SUBSCHEME
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 any scheme such that
. Here we prove the existence of an integer
such that for every integer
a general union of
and
lines of
has maximal rank.
Received: October 28, 2009
AMS Subject Classification: 14N05
Key Words and Phrases: unions of lines, Hilbert function, postulation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 4