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arXiv · 2605.17670

$\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras

Timofey Krasikov·Kirill Rassolov
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Abstract

A trinomial algebra is a commutative finitely generated algebra given by a system of compatible relations each of which is a polynomial with three terms. Such algebras arise as the Cox rings of varieties admitting a complexity one torus action. We describe locally nilpotent derivations of a trinomial algebra that are homogeneous under a natural torus action of complexity one.

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Timofey Krasikov, Kirill Rassolov. 2026-05-17. $\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras. https://arxiv.org/abs/2605.17670

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