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arXiv · 2604.26659

Existence and maximal corank of simple $Z_p$-invariant germs

Ivan Proskurnin
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Abstract

In this paper we improve the previously achieved upper bound on the corank of an equivariantly stable singularity for a group of prime order. We also prove that the maximal corank of a simple $\mathbb{Z}_p$-invariant germ tends to infinity as $p$ increases and is asymptotically logarithmic, so the previously obtained bound is valid up to order of magnitude.

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Ivan Proskurnin. 2026-04-29. Existence and maximal corank of simple $Z_p$-invariant germs. https://arxiv.org/abs/2604.26659

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