2020/03/19 by Laurent, Bruno
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2003.08825
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.