30 citations · 87 across the 6 of their papers we have counts for
6 papers · 1 filter
Secant varieties of flag varieties via Schur apolarity
Alessandra Bernardi, Stefano Canino, Vincenzo Antonio Isoldi
We develop a general first-order theory of Schur apolarity for the study of secant varieties of flag varieties in arbitrary homogeneous embeddings. Extending the classical apolarit…
Unique decomposition for a polynomial of low rank
E. Ballico, A. Bernardi
Let be a homogeneous polynomial of degree in variables defined over an algebraically closed field of characteristic 0 and suppose that belongs to the -th secan…
Tensor ranks on tangent developable of Segre varieties
Edoardo Ballico, Alessandra Bernardi
We describe the stratification by tensor rank of the points belonging to the tangent developable of any Segre variety. We give algorithms to compute the rank and a decomposition of…
Partial stratification of secant varieties of Veronese varieties via curvilinear subschemes
E. Ballico, A. Bernardi
We give a partial "quasi-stratification" of the secant varieties of the order Veronese variety of . It covers the set of all p…
On the variety parametrizing completely decomposable polynomials
E. Arrondo, A. Bernardi
The purpose of this paper is to relate the variety parameterizing completely decomposable homogeneous polynomials of degree in variables on an algebraically closed field,…
Osculating Varieties of Veronesean and their higher secant varieties
A. Bernardi, M. V. Catalisano, A. Gimigliano +1
We consider the varieties of the k-osculating spaces to the Veronese varieties, the uple embeddings of $\PP n$; we study the dimension of their higher secant variet…