3 papers
math.AG2026
Existence and maximal corank of simple -invariant germs
Ivan Proskurnin
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…
math.AG2026
Actions of a group of prime order without equivariantly simple germs
Ivan Proskurnin
We prove that equivariantly simple invariant singularities can only exist for very few representations of a group of prime order: for real representations and some ``almost, but no…
math.AG2026
Milnor number of an invariant singularity: generalization of Chulkov's inequality
Ivan Proskurnin
We prove a lower bound for the Milnor number of function germ invariant with respect to a finite abelian group action. It is shown that this bound is tight for functions of arbitra…