5 citations · 13 across the 5 of their papers we have counts for
8 papers · 1 filter
Decomposition algorithms for tensors and polynomials
Antonio Laface, Alex Massarenti, Rick Rischter
We give algorithms to compute decompositions of a given polynomial, or more generally mixed tensor, as sum of rank one tensors, and to establish whether such a decomposition is uni…
On secant defectiveness and identifiability of Segre-Veronese varieties
Antonio Laface, Alex Massarenti, Rick Rischter
We give an almost asymptotically sharp bound for the non secant defectiveness and identifiability of Segre-Veronese varieties. We also provide new examples of defective Segre-Veron…
Projective aspects of the Geometry of Lagrangian Grassmannians and Spinor varieties
Ageu Barbosa Freire, Alex Massarenti, Rick Rischter
We study the projective behavior, mainly with respect to osculating spaces and secant varieties, of Lagrangian Grassmannians and Spinor varieties. We prove that these varieties hav…
On Mori chamber and stable base locus decompositions
Antonio Laface, Alex Massarenti, Rick Rischter
The effective cone of a Mori dream space admits two wall-and-chamber decompositions called Mori chamber and stable base locus decompositions. In general the former is a non trivial…
Projective and birational geometry of Grassmannians and other special varieties
Rick Rischter
In the first part of the thesis, we study a classical invariant of projective varieties, the secant defectivity. The second part is devoted to modern algebraic geometry, we study t…
Spherical blow-ups of Grassmannians and Mori Dream Spaces
Alex Massarenti, Rick Rischter
In this paper we classify weak Fano varieties that can be obtained by blowing-up general points in prime Fano varieties. We also classify spherical blow-ups of Grassmannians in gen…