Automorphism groups of Koras-Russell threefolds of the second kind

Affiliation auteursAffiliation ok
TitreAutomorphism groups of Koras-Russell threefolds of the second kind
Type de publicationJournal Article
Year of Publication2016
AuteursPetitjean C
JournalBEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY
Volume57
Pagination599-605
Date PublishedSEP
Type of ArticleArticle
ISSN0138-4821
Mots-clésAutomorphism groups of affine varieties, Koras-Russell threefolds
Résumé

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 G(m) and G(a).

DOI10.1007/s13366-016-0282-x