English

Almost homogeneous varieties of Albanese codimension one

Algebraic Geometry 2020-03-20 v1

Abstract

We classify almost homogeneous normal varieties of Albanese codimension 11, 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 22, and we determine its (reduced) neutral component.

Keywords

Cite

@article{arxiv.2003.08825,
  title  = {Almost homogeneous varieties of Albanese codimension one},
  author = {Bruno Laurent},
  journal= {arXiv preprint arXiv:2003.08825},
  year   = {2020}
}

Comments

21 pages. Comments are welcome