IJPAM: Volume 61, No. 4 (2010)
ON THE POSTULATION OF A GENERAL UNION OF
TRIPLE POINTS AND DOUBLE POINTS IN
TRIPLE POINTS AND DOUBLE POINTS IN

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Abstract.Fix integers such that
,
,
. Let
be a general union of
triple points and
double points. Here we prove that either
(case
) or
(case
). When
we are only able to prove the corresponding result assuming
.
Received: April 17, 2010
AMS Subject Classification: 14N05, 15A72, 65D05
Key Words and Phrases: polynomial interpolation, zero-dimensional scheme, fat point, triple point
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 4