34 citations · 139 across the 44 of their papers we have counts for
6 papers · 1 filter
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…
The Lefschetz principle in birational geometry: birational twin varieties
César Lozano Huerta, Alex Massarenti
Inspired by the Weak Lefschetz Principle, we study when a smooth projective variety fully determines the birational geometry of some of its subvarieties. In particular, we consider…
On Comon's and Strassen's conjectures
Alex Casarotti, Alex Massarenti, Massimiliano Mella
Comon's conjecture on the equality of the rank and the symmetric rank of a symmetric tensor, and Strassen's conjecture on the additivity of the rank of tensors are two of the most…
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…
On the birational geometry of spaces of complete forms I: collineations and quadrics
Alex Massarenti
Moduli spaces of complete collineations are wonderful compactifications of spaces of linear maps of maximal rank between two fixed vector spaces. We investigate the birational geom…
On the birational geometry of spaces of complete forms II: skew-forms
Alex Massarenti
Moduli spaces of complete skew-forms are compactifications of spaces of skew-symmetric linear maps of maximal rank on a fixed vector space, where the added boundary divisor is simp…