On the analytical invariance of the semigroups of a quasi-ordinary hypersurface singularity
Popescu-Pampu, Patrick
HAL, hal-00133227 / Harvested from HAL
We 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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-00133227,
     author = {Popescu-Pampu, Patrick},
     title = {On the analytical invariance of the semigroups of a quasi-ordinary hypersurface singularity},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00133227}
}
Popescu-Pampu, Patrick. On the analytical invariance of the semigroups of a quasi-ordinary hypersurface singularity. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00133227/