Horospherical stacks

Abstract : 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.
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Submitted on : Monday, March 18, 2019 - 12:57:44 PM
Last modification on : Saturday, March 30, 2019 - 2:29:13 AM
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Ariyan Javanpeykar, Kevin Langlois, Ronan Terpereau. Horospherical stacks. Münster Journal of Mathematics, 2019, ⟨10.17879/85169767804⟩. ⟨hal-01620380v2⟩

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