A. Rittatore

activity

19982024

most citedSelf-dual projective toric varieties

7 citations · 11 across the 14 of their papers we have counts for

collaborators

14 papers

math.AG2024

On polynomial automorphisms commuting with a simple derivation

Pierre-Louis Montagard, Iván Pan, Alvaro Rittatore

Let $D$ be a simple derivation of the polynomial ring $k [x_{1}, \dots, x_{n}]$ , where $k$ is an algebraically closed field of characteristic zero, and denote by $\opera…

math.AG2022

On the orbits of plane automorphisms and their stabilizers

Iván Pan, Alvaro Rittatore

Let $k$ be a perfect field with algebraic closure $k$ . If $H$ is a subgroup of plane automorphisms over $k$ and $p \in k^{2}$ is a point, we descr…

math.AG2018

Quasi-compact group schemes, Hopf sheaves, and their representations

Alvaro Rittatore, Pedro Luis del Angel, Walter Ferrer Santos

We explore the notion of representation of an affine extension of an abelian variety -- such an extension is a faithfully flat affine morphism of $k$ -group schemes $q : G \to A$ ,…

math.AG2018

Gorenstein Fano Generic Torus Orbit closures in $G / P$

Pierre-Louis Montagard, Alvaro Rittatore

Given a reductive group $G$ and a parabolic subgroup $P \subset G$ , with maximaltorus $T$ , we consider (following Dabrowski's work) the closure $X$ of a generic $T$ -orbit in $G / P$ ,…

math.AG2012★ 2 cited

Some remarks about the Zariski topology of the Cremona group

Ivan Pan, Alvaro Rittatore

For an algebraic variety $X$ we study the behavior of algebraic morphisms from an algebraic variety to the group $\bir(X)$ of birational maps of $X$ and obtain, as application, som…

math.AG2010

The endomorphisms monoid of a homogeneous vector bundle

L. Brambila-Paz, Alvaro Rittatore

In this paper we give some properties of the algebraic and geometric structure of the endomorphisms monoid of a homogeneous vector bundle.