3 papers
math.AG2026
Bilinear secants and birational geometry of blowups of
Elisa Postinghel, Artie Prendergast-Smith
We introduce bilinear secant varieties and joins of subvarieties of products of projective spaces, as a generalisation of the classical secant varieties and joins of projective var…
math.AG2025
Birational geometry of blowups via Weyl chamber decompositions and actions on curves
Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel +1
We study the birational geometry of , the blow-up of at points in general position. We identify a set of subvarieties, which we call Weyl -p…
math.AG2025
Duality and polyhedrality of cones for Mori dream spaces
Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel +1
Our goal is twofold. On one hand we show that the cones of divisors ample in codimension on a Mori dream space are rational polyhedral. On the other hand we study the duality b…