Horospherical stacks

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 Iwanari, Fantec...

Verfasser: Javanpeykar, Ariyan
Langlois, Kevin
Terpereau, Ronan
Dokumenttypen:Artikel
Medientypen:Text
Erscheinungsdatum:2019
Publikation in MIAMI:14.03.2019
Datum der letzten Änderung:13.09.2019
Quelle:Münster Journal of Mathematics, 12 (2019), S. 1-29
Verlag/Hrsg.: Mathematisches Institut (Universität Münster)
Angaben zur Ausgabe:[Electronic ed.]
Fachgebiet (DDC):510: Mathematik
Lizenz:InC 1.0
Sprache:English
Format:PDF-Dokument
URN:urn:nbn:de:hbz:6-85169769857
Weitere Identifikatoren:DOI: 10.17879/85169767804
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-85169769857
Onlinezugriff:mjm_2019_12_1-29.pdf

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 Iwanari, Fantechi, Mann and Nironi, and Geraschenko and Satriano for abstract toric stacks.