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Homogeneous locally nilpotent derivations on trinomial varieties

Algebraic Geometry 2025-12-29 v1 Commutative Algebra

Abstract

We consider the finest grading of the algebra of regular functions of a trinomial variety. An explicit description of locally nilpotent derivations that are homogeneous with respect to this grading is obtained.

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Cite

@article{arxiv.2509.08491,
  title  = {Homogeneous locally nilpotent derivations on trinomial varieties},
  author = {Kirill Rassolov},
  journal= {arXiv preprint arXiv:2509.08491},
  year   = {2025}
}

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17 pages