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On rigidity of factorial trinomial hypersurfaces

Research paper by Ivan Arzhantsev

Indexed on: 20 Feb '16Published on: 20 Feb '16Published in: Mathematics - Algebraic Geometry



Abstract

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.