Pedro Montero

collaborators

4 papers

math.AG2022

Del Pezzo quintics as equivariant compactifications of vector groups

Adrien Dubouloz, Takashi Kishimoto, Pedro Montero

We study faithful actions with a dense orbit of abelian unipotent groups on quintic del Pezzo varieties over a field of characteristic zero. Such varieties are forms of linear sect…

math.AG2018

Equivariant compactifications of vector groups with high index

Baohua Fu, Pedro Montero

In this note, we classify smooth equivariant compactifications of $G_{a}^{n}$ which are Fano manifolds with index $\geq n - 2$ .

math.AG2018

Fano threefolds as equivariant compactifications of the vector group

Zhizhong Huang, Pedro Montero

In this article, we determine all equivariant compactifications of the three-dimensional vector group $G_{a}^{3}$ which are smooth Fano threefolds with Picard number greater o…

math.AG2018

A characterization of some Fano 4-folds through conic fibrations

Pedro Montero, Eleonora Anna Romano

We find a characterization for Fano 4-folds $X$ with Lefschetz defect $δ_{X} = 3$ : besides the product of two del Pezzo surfaces, they correspond to varieties admitting a conic bundl…