English

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

Algebraic Geometry 2026-05-07 v2

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 Zp\mathbb{Z}_p-invariant germ tends to infinity as pp increases and is asymptotically logarithmic, so the previously obtained bound is valid up to order of magnitude.

Keywords

Cite

@article{arxiv.2604.26659,
  title  = {Existence and maximal corank of simple $Z_p$-invariant germs},
  author = {Ivan Proskurnin},
  journal= {arXiv preprint arXiv:2604.26659},
  year   = {2026}
}