# On higher dimensional Hirzebruch-Jung singularities.

Revista Matemática Complutense (2005)

- Volume: 18, Issue: 1, page 209-232
- ISSN: 1139-1138

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topPopescu-Pampu, Patrick. "On higher dimensional Hirzebruch-Jung singularities.." Revista Matemática Complutense 18.1 (2005): 209-232. <http://eudml.org/doc/38161>.

@article{Popescu2005,

abstract = {A germ of normal complex analytical surface is called a Hirzebruch-Jung singularity if it is analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric surface. Two such germs are known to be isomorphic if and only if the toric surfaces corresponding to them are equivariantly isomorphic. We extend this result to higher-dimensional Hirzebruch-Jung singularities, which we define to be the germs analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric variety determined by a lattice and a simplicial cone of maximal dimension. We deduce a normalization algorithm for quasi-ordinary hypersurface singularities.},

author = {Popescu-Pampu, Patrick},

journal = {Revista Matemática Complutense},

keywords = {Funciones algebroides; Singularidades; Hipersuperficies; Hirzebruch-Jung singularities; quasi-ordinary singularities; toric singularities},

language = {eng},

number = {1},

pages = {209-232},

title = {On higher dimensional Hirzebruch-Jung singularities.},

url = {http://eudml.org/doc/38161},

volume = {18},

year = {2005},

}

TY - JOUR

AU - Popescu-Pampu, Patrick

TI - On higher dimensional Hirzebruch-Jung singularities.

JO - Revista Matemática Complutense

PY - 2005

VL - 18

IS - 1

SP - 209

EP - 232

AB - A germ of normal complex analytical surface is called a Hirzebruch-Jung singularity if it is analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric surface. Two such germs are known to be isomorphic if and only if the toric surfaces corresponding to them are equivariantly isomorphic. We extend this result to higher-dimensional Hirzebruch-Jung singularities, which we define to be the germs analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric variety determined by a lattice and a simplicial cone of maximal dimension. We deduce a normalization algorithm for quasi-ordinary hypersurface singularities.

LA - eng

KW - Funciones algebroides; Singularidades; Hipersuperficies; Hirzebruch-Jung singularities; quasi-ordinary singularities; toric singularities

UR - http://eudml.org/doc/38161

ER -

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