Projective invariants of four subspaces
Academic Article
Overview
Identity
Additional Document Info
Other
View All
Overview
abstract
We compute a set of generators of the ring of invariants for a set of 4 subspaces in a projective space. More precisely, let K[Gr 4 ] be the ring of regular functions on the product of four Grassmannians, we present a set of generators for K[Gr 4 ] SL(V) , where V is the underlying vector space. We also study syzygies among the generators. In most cases generators are algebraically independent. Only in the case where the affine dimensions of the four subspaces are given by the quadruple (k, k, k, k) and k + k = dim V, there is, one and only one syzygy, the precise form of which is given. 1996 Academic Press, Inc.