Pierre-Louis Montagard

activity

20042024

most citedTwo generalizations of the PRV conjecture

15 citations · 16 across the 6 of their papers we have counts for

collaborators

7 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.AG2023

Spherical actions on locally factorial Fano varieties of dimension $\leq 4$ and rank $\leq 2$

Thibaut Delcroix, Pierre-Louis Montagard

We obtain the exhaustive list of 337 faithful spherical actions of rank two or less on locally factorial Fano manifolds of dimension four or less. As a preliminary step, we determi…

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.RT2011

Generalizations of the PRV conjecture, II

Pierre-Louis Montagard, Boris Pasquier, Nicolas Ressayre

Let $G \subset G^$ be two complex connected reductive groups. We deals with the hard problem of finding sub- $G$ -modules of a given irreducible $G^$ -module. In the case wher…

math.RT2010★ 15 cited

Two generalizations of the PRV conjecture

Pierre-Louis Montagard, Boris Pasquier, Nicolas Ressayre

Let G be a complex connected reductive group. The PRV conjecture, which was proved independently by S. Kumar and O. Mathieu in 1989, gives explicit irreducible submodules of the te…

math.CO2006

Lattice Polytopes and Root Systems

Nicolas Ressayre, Pierre-Louis Montagard

Consider a lattice in a real finite dimensional vector space. Here, we are interested in the lattice polytopes, that is the convex hulls of finite subsets of the lattice. Consider…