English

On double Danielewski varieties

Algebraic Geometry 2023-12-29 v1 Commutative Algebra

Abstract

In this paper, we study the double Danielewski varieties which arose from the research on the classical Cancellation Problem. We describe the Makar-Limanov invariant and locally nilpotent derivations of these varieties. And in a subsequent paper we will describe the automorphisms groups of the varieties and verify that the varieties are counterexamples to the Cancellation Problem.

Cite

@article{arxiv.2312.16808,
  title  = {On double Danielewski varieties},
  author = {Xiaosong Sun and Shuai Zeng},
  journal= {arXiv preprint arXiv:2312.16808},
  year   = {2023}
}
R2 v1 2026-06-28T14:03:23.462Z