Almost Homogeneous Varieties of Albanese Codimension One

DOI10.1093/IMRN/RNAA312zbMATH Open1502.14107arXiv2003.08825OpenAlexW3113519455MaRDI QIDQ5082269

Bruno Laurent

Publication date: 16 June 2022

Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)

Abstract: We classify almost homogeneous normal varieties of Albanese codimension $1$, defined over an arbitrary field. We prove that such a variety has a unique normal equivariant completion. Over a perfect field, the group scheme of automorphisms of this completion is smooth, except in one case in characteristic $2$, and we determine its (reduced) neutral component.

Full work available at URL: https://arxiv.org/abs/2003.08825

zbMATH Keywords

almost homogeneous varieties

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Algebraic theory of abelian varieties (14K05) Group schemes (14L15)

Related Items (1)

Cohomological support loci of varieties of Albanese fiber dimension one

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