1 citations · 1 across the 1 of their papers we have counts for
12 papers
On the weak Lefschetz principle in birational geometry
César Lozano Huerta, Alex Massarenti
This is an expository article written for the Notices of the AMS in which we discuss the weak Lefschetz Principle in birational geometry. Our departing point is the influential wor…
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…
On secant dimensions and identifiability of Flag varieties
Ageu Barbosa Freire, Alex Casarotti, Alex Massarenti
We investigate the secant dimensions and the identifiablity of flag varieties parametrizing flag of sub vector spaces of a fixed vector space. We give numerical conditions ensuring…
On automorphisms of moduli spaces of parabolic vector bundles
Carolina Araujo, Thiago Fassarella, Inder Kaur +1
Fix general points , and a weight vector of real numbers . Consider the moduli…
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…