Linear factorization of binary forms and its correspondence to the vanishing of covariants

Abstract

In this paper we study the topological properties
of the following set : For a given partition (m1; : : : ;ms) of a
positive integer r; the set of binary forms f of degree r in the
variables X0;X1 over the field of complex numbers C such that
f has the form lm1
1 : : : lms
s for some linear forms l1; : : : ; ls;. Also,
we will explore the covariant generators for the corresponding
prime ideal of this set.