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On the analytical invariance of the semigroups of a quasi-ordinary hypersurface singularity

By Patrick Popescu-Pampu

Abstract

29 pagesWe associate to any irreducible germ S of 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 S

Topics: [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]
Publisher: Duke University Press
Year: 2004
OAI identifier: oai:HAL:hal-00133227v1
Provided by: Hal-Diderot
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