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arXiv · 2605.00138

Cylinders and the zero locus of the plinth ideal

Kirill Shakhmatov
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Abstract

Given a $\mathbb{G}_\mathrm{a}$-action on an affine variety $X$, we show that the complement of the union of all principal invariant cylinders in $X$ is equal to the zero locus of the plinth ideal of the corresponding locally nilpotent derivation.

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Kirill Shakhmatov. 2026-04-30. Cylinders and the zero locus of the plinth ideal. https://arxiv.org/abs/2605.00138

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