English

Automorphisms of Danielewski varieties

Algebraic Geometry 2017-09-28 v1

Abstract

In 2007, Dubouloz introduced Danielewski varieties. Such varieties generalize Danielewski surfaces and provide counterexamples to generalized Zariski cancellation problem in arbitrary dimension. In the present work we describe the automorphism group of a Danielewski variety. This result is a generalization of a description of automorphisms of Danielewski surfaces due to Makar-Limanov.

Keywords

Cite

@article{arxiv.1709.09237,
  title  = {Automorphisms of Danielewski varieties},
  author = {Sergey A. Gaifullin},
  journal= {arXiv preprint arXiv:1709.09237},
  year   = {2017}
}

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22 pages