RT Journal Article
T1 On the variety parameterizing completely decomposable polynomials
A1 Arrondo Esteban, Enrique
A1 Bernadi, Alessandra
AB The purpose of this paper is to relate the variety parameterizing completely decomposable homogeneous polynomials of degree d in n + 1 variables on an algebraically closed field, called Split(d)(P(n)), with the Grassmannian of (n - 1)-dimensional projective subspaces of P(n+d-1). We compute the dimension of some secant varieties to Split(d)(P(n)). Moreover by using an invariant embedding of the Veronese variety into the Plucker space, we are able to compute the intersection of G(n - 1, n + d - 1) with Split(d)(P(n)), some of its secant varieties, the tangential variety and the second osculating space to the Veronese variety.
PB Elsevier Science
SN 0022-4049
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/42079
UL https://hdl.handle.net/20.500.14352/42079
LA eng
DS Docta Complutense
RD 9 abr 2025