4 papers · 1 filter
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…
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…
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…
Nonvanishing and Abundance for cones of movable divisors
Gilberto Bini, Maria Chiara Brambilla, Claudio Fontanari +1
Let be the closure of the cone generated by classes of effective divisors on a projective variety with stable base locus of c…