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- W569706724 abstract "We describe the set of all locally nilpotent derivations of the quotient ring $mathbb{K}[X,Y,Z]/(f(X)Y - varphi(X,Z))$ constructed from the defining equation $f(X)Y = varphi(X,Z)$ of a generalized Danielewski surface in $mathbb K^3$ for a specific choice of polynomials $f$ and $varphi$, with $mathbb K$ an algebraically closed field of characteristic zero. As a consequence of this description we calculate the $ML$-invariant and the Derksen invariant of this ring. We also determine a set of generators for the group of $mathbb K$-automorphisms of $mathbb K[X,Y,Z]/(f(X)Y - varphi(Z))$ also for a specific choice of polynomials $f$ and $varphi$." @default.
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- W569706724 date "2017-01-01" @default.
- W569706724 modified "2023-10-03" @default.
- W569706724 title "Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces" @default.
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- W569706724 doi "https://doi.org/10.1016/j.jalgebra.2016.08.030" @default.
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