On higher dimensional Hirzebruch-Jung singularities.

Patrick Popescu-Pampu

Revista Matemática Complutense (2005)

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

Abstract

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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.

How to cite

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Popescu-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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