Horospherical stacks

Ariyan Javanpeykar (1) , Kevin Langlois (2) , Ronan Terpereau (3)

1 Institut für Mathematik [Mainz]
2 Mathematisches Institut [Dusseldorf]
3 IMB - Institut de Mathématiques de Bourgogne [Dijon]

We prove structure theorems for algebraic stacks with a reductive group action and a dense open substack isomorphic to a horospherical homogeneous space, and thereby obtain new examples of algebraic stacks which are global quotient stacks. Our results partially generalize the work of Fantechi-Mann-Nironi and Geraschenko-Satriano for abstract toric stacks.

Domaines: Géométrie algébrique [math.AG]

Ariyan Javanpeykar, Kevin Langlois, Ronan Terpereau. Horospherical stacks. 2017. ⟨hal-01620380v1⟩