IJPAM: Volume 43, No. 3 (2008)

UNREDUCED ZERO-DIMENSIONAL SCHEMES
DEFINED OVER $\mathbb {F}_q$ WITH GOOD POSTULATION

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Here we prove the existence of many zero-dimensional schemes $Z \subset {\bf {P}}^n$ with a small number of connected components, all of them defined over $\mathbb {F}_q$, and with good postulation (even if $\mbox{\rm length}(Z) \gg \sharp ({\bf {P}}^n(\mathbb {F}_q))$).

Received: December 21, 2007

AMS Subject Classification: 14N05

Key Words and Phrases: postulation, zero-dimensional scheme, finite field

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 3