15 citations · 76 across the 23 of their papers we have counts for
24 papers
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…
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…
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…
Waring identifiability for powers of forms via degenerations
Alex Casarotti, Elisa Postinghel
We discuss an approach to the secant non-defectivity of the varieties parametrizing -th powers of forms of degree . It employs a Terracini type argument along with certain de…
On linear systems with multiple points on a rational normal curve
Antonio Laface, Elisa Postinghel, Luis José Santana Sánchez
We give a closed formula for the dimension of all linear systems in with assigned multiplicity at arbitrary collections of points lying on a rational normal curve of…