English

On automorphisms of Danielewski surfaces

Commutative Algebra 2007-05-23 v1 Algebraic Geometry

Abstract

We develop techniques for computing the AK invariant of a domain with arbitrary characteristic. We use these techniques to describe for any field KK the automorphism group of K[X,Y,Z]/(XnYZ2h(X)Z)K[X,Y,Z]/(X^n Y - Z^2 - h(X)Z), where h(0)0h(0) \ne 0 and n2n \geq 2, as well as the isomorphism classes of these algebras.

Keywords

Cite

@article{arxiv.math/0406415,
  title  = {On automorphisms of Danielewski surfaces},
  author = {Anthony J. Crachiola},
  journal= {arXiv preprint arXiv:math/0406415},
  year   = {2007}
}
R2 v1 2026-07-22T17:06:58.279Z