Beitr\"age zur Algebra und Geometrie
Contributions to Algebra and Geometry
Volume 35 (1994), No. 2, 173-180.

Simple Conditions on Conic Varieties                  

Konrad Drechsler, Ulrich Sterz

Abstract.

Given a set of conditions $B$ of codimension one
on a conic variety obtained 
by successively blowing-up the $P^5$ the conic varieties $N$ will be 
described for which the intersection number of conditions computed in
the intersection ring of $N$ is geometrically significant. 
It will be proved that $N$ is complete with respect to $B$ if and only 
if $N$ covers a suitable $N^0$.  $N^0$ will be determined, explicitely, in 
terms of the Newton-Cramer-polygon of a local representation of $B$.