On double Danielewski surfaces and the Cancellation Problem
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DOI: 10.1016/j.jalgebra.2019.05.027
Abstract: Abstract We study a two-dimensional family of affine surfaces which are counter-examples to the Cancellation Problem. We describe the Makar-Limanov invariant of these surfaces, determine their isomorphism classes and characterize the automorphisms of these surfaces. read more here.
Keywords: danielewski surfaces; cancellation problem; double danielewski; cancellation ... See more keywords
Vector Fields and Automorphism Groups of Danielewski Surfaces
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DOI: 10.1093/imrn/rnaa189
Abstract: In this paper, we study the Lie algebra of vector fields ${\operatorname{Vec}}(\textrm{D}_p)$ of a smooth Danielewski surface $\textrm{D}_p$. We prove that the Lie subalgebra $\langle{\operatorname{LNV}}(\textrm{D}_p) \rangle$ of ${\operatorname{Vec}}(\textrm{D}_p)$ generated by locally nilpotent vector fields is… read more here.
Keywords: danielewski surfaces; textrm; automorphism; operatorname ... See more keywords