The maximal corank of simple Z_p-invariant germs tends to infinity logarithmically with p, improving prior upper bounds on equivariant stability.
On SimpleZ2-invariant and Corner Function Germs
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Equivariantly simple invariant singularities under prime-order group actions exist only for real and almost-real representations.
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Existence and maximal corank of simple $Z_p$-invariant germs
The maximal corank of simple Z_p-invariant germs tends to infinity logarithmically with p, improving prior upper bounds on equivariant stability.
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Actions of a group of prime order without equivariantly simple germs
Equivariantly simple invariant singularities under prime-order group actions exist only for real and almost-real representations.