Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally nilpotent derivations and automorphism groups of certain
  Danielewski surfaces   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 $\varphi$.

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The categories of this paper are: adap-org
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom