An affine algebraic variety $X$ is rigid if the algebra of regular functions ${\mathbb K}[X]$ admits no nonzero locally nilpotent derivation. We prove that a factorial trinomial hypersurface is rigid if and only if every exponent in the trinomial is at least 2.
The ring of regular functions of an algebraic monoid
On rigidity of trinomial hypersurfaces and factorial trinomial varieties
Structure of connected nested automorphism groups
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