Ana-Maria Castravet

activity

20032026

most cited

M_{0, n}

is not a Mori Dream Space

73 citations · 106 across the 19 of their papers we have counts for

collaborators

22 papers

math.AG2026

Blowups, Gale duality, and moduli spaces

Carolina Araujo, Ana-Maria Castravet, Inder Kaur +1

The goal of this paper is to describe the birational geometry of the blowup of $P^{n}$ at $n + 4$ points in very general position. To achieve this, we follow an idea of Mukai…

math.AG2026

On the classification of toric $2$ -Fano manifolds: generic $P^{2}$ -bundles

Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +4

In this paper, we advance the classification of toric 2-Fano manifolds by continuing the investigation of the minimal projective bundle dimension $m (X) \in {1, \dots, dim (X)}$ int…

math.AG2023

Horospherical 2-Fano varieties

Carolina Araujo, Ana-Maria Castravet

We classify $2$ -Fano horospherical varieties with Picard number $1$ . We also review all the known examples of $2$ -Fano manifolds and investigate the relation between the $2$ -Fano c…

math.AG2023

Hyperlogarithmic functional equations on del Pezzo surfaces

Ana-Maria Castravet, Luc Pirio

For any $d \in {1, \dots, 6}$ , we prove that the web of conics on a del Pezzo surface of degree $d$ carries a functional identity whose components are antisymmetric hyperlogarithms…

math.AG2023★ 1 cited

The minimal projective bundle dimension and toric $2$ -Fano manifolds

Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +5

Motivated by the problem of classifying toric $2$ -Fano manifolds, we introduce a new invariant for smooth projective toric varieties, the minimal projective bundle dimension. This…

math.AG2021

Higher Fano Manifolds