The maximal corank of simple Z_p-invariant germs tends to infinity logarithmically with p, improving prior upper bounds on equivariant stability.
Actions of a group of prime order without equivariantly simple germs
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abstract
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 not quite real'' representations.
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math.AG 1years
2026 1verdicts
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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.