4 papers
On the strong base locus of a projective variety
Edoardo Ballico, Maria Chiara Brambilla, Pierpaola Santarsiero
We introduce and study the base locus and the strong base locus of a projective variety X. The base locus of X parametrizes configurations of smooth points of X where the span of t…
Terracini loci and a codimension one Alexander-Hirschowitz theorem
Edoardo Ballico, Maria Chiara Brambilla, Claudio Fontanari
The Terracini locus is the locus of all finite subsets of of cardinality such that , $h^0(\mathcal{I…
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…