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arXiv · 2508.05879

Syzygies of some invariant rings with cyclic group actions

Christin Sum
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Abstract

We investigate actions of cyclic groups on polynomial rings with two variables, and the minimal free resolution of the corresponding invariant ring. In particular, we fully classify several cases, including the case the defining ideal has codimension two, and when the multidegrees of generating invariants lie on the union of two lines.

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Christin Sum. 2025-08-07. Syzygies of some invariant rings with cyclic group actions. https://arxiv.org/abs/2508.05879

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