Abstract
We associate to any irreducible germ $\mathcal{S}$ of a complex quasi-ordinary hypersurface an analytically invariant semigroup. We deduce a direct proof (without passing through their embedded topological invariance) of the analytical invariance of the normalized characteristic exponents. These exponents generalize the generic Newton-Puiseux exponents of plane curves. Incidentally, we give a toric description of the normalization morphism of the germ $\mathcal{S}$.
Citation
Patrick Popescu-Pampu. "On the analytical invariance of the semigroups of a quasi-ordinary hypersurface singularity." Duke Math. J. 124 (1) 67 - 104, 15 July 2004. https://doi.org/10.1215/S0012-7094-04-12413-3
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