8 papers · 1 filter
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…
Minimal Terracini loci in the plane: gaps and non-gaps
Edoardo Ballico, Maria Chiara Brambilla
We study minimally Terracini finite sets of points in the projective plane and we prove that the sequence of the cardinalities of minimally Terracini sets can have any number of ga…
Non-defectivity of Segre-Veronese varieties
Hirotachi Abo, Maria Chiara Brambilla, Francesco Galuppi +1
We prove that Segre-Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree and dimension. As a c…