English

Automorphism groups of Koras-Russell threefolds of the second kind

Algebraic Geometry 2015-07-23 v1

Abstract

We determine the automorphism groups of Koras-Russell threefolds of the second kind. In particular we show that these groups are semi-direct products of two subgroups, one given by the multiplicative group and the other isomorphic to a polynomial ring in two variables with the addition law. We also show that these groups are generated by algebraic subgroups isomorphic to Gm and Ga.

Keywords

Cite

@article{arxiv.1507.06087,
  title  = {Automorphism groups of Koras-Russell threefolds of the second kind},
  author = {Charlie Petitjean},
  journal= {arXiv preprint arXiv:1507.06087},
  year   = {2015}
}