Lines on hypersurfaces with isolated singularities are classified. New normal forms of simple singularities with respect to lines are obtained. Several invariants are introduced.
On classifie les droites sur une hypersurface à singularité isolée. On obtient ainsi de nouvelles formes normales pour les singularités simples relatives aux droites et on introduit de nouveaux invariants.
@article{AIF_1999__49_4_1129_0, author = {Jiang, Guangfeng and Siersma, Dirk}, title = {Local embeddings of lines in singular hypersurfaces}, journal = {Annales de l'Institut Fourier}, pages = {1129--1147}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {49}, number = {4}, year = {1999}, doi = {10.5802/aif.1711}, zbl = {0928.14025}, mrnumber = {2000g:32034}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1711/} }
TY - JOUR AU - Jiang, Guangfeng AU - Siersma, Dirk TI - Local embeddings of lines in singular hypersurfaces JO - Annales de l'Institut Fourier PY - 1999 SP - 1129 EP - 1147 VL - 49 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1711/ DO - 10.5802/aif.1711 LA - en ID - AIF_1999__49_4_1129_0 ER -
%0 Journal Article %A Jiang, Guangfeng %A Siersma, Dirk %T Local embeddings of lines in singular hypersurfaces %J Annales de l'Institut Fourier %D 1999 %P 1129-1147 %V 49 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1711/ %R 10.5802/aif.1711 %G en %F AIF_1999__49_4_1129_0
Jiang, Guangfeng; Siersma, Dirk. Local embeddings of lines in singular hypersurfaces. Annales de l'Institut Fourier, Volume 49 (1999) no. 4, pp. 1129-1147. doi : 10.5802/aif.1711. https://aif.centre-mersenne.org/articles/10.5802/aif.1711/
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