English

On rigidity of factorial trinomial hypersurfaces

Algebraic Geometry 2016-08-16 v3

Abstract

An affine algebraic variety XX is rigid if the algebra of regular functions K[X]{\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.

Keywords

Cite

@article{arxiv.1601.02251,
  title  = {On rigidity of factorial trinomial hypersurfaces},
  author = {Ivan Arzhantsev},
  journal= {arXiv preprint arXiv:1601.02251},
  year   = {2016}
}

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8 pages