Carolina Araujo

activity

20242026

collaborators

5 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.AG2026

Hierarchical Locally Recoverable Codes on surfaces

Carolina Araujo, Luana Costa, Beth Malmskog +4

We construct locally recoverable codes with hierarchy from surfaces in $A^{3}$ admitting a fibration by curves of Artin-Schreier or Kummer type. We derive the parameters of…

math.AG2025

On Gizatullin's Problem for quartic surfaces of Picard rank $2$

Carolina Araujo, Daniela Paiva, Sokratis Zikas

In this paper we determine which automorphisms of general smooth quartic surfaces $S \subset P^{3}$ of Picard rank $2$ are restrictions of Cremona transformations of $\mathbb…

math.AG2024

Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations

Carolina Araujo, Alessio Corti, Alex Massarenti

We develop a framework that allows one to describe the birational geometry of Calabi-Yau pairs $(X, D)$ . After establishing some general results for Calabi-Yau pairs $(X, D)$ with mi…

Blowups, Gale duality, and moduli spaces

On the classification of toric 2-Fano manifolds: generic P2-bundles

Hierarchical Locally Recoverable Codes on surfaces

On Gizatullin's Problem for quartic surfaces of Picard rank 2

Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations

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

On Gizatullin's Problem for quartic surfaces of Picard rank $2$