Let the canonical decomposition of the space of arcs passing through a normal surface singularity. In this paper, we give two new conditions to ensure that is not included in . These conditions allow us to give two different direct demonstration of Nah problem for minimal sandwiched singularities.
Soit la décomposition canonique de l’espace des arcs passant par une singularité normale de surface. Dans cet article, on propose deux nouvelles conditions qui si elles sont vérifiées permettent de montrer que n’est pas inclus dans . On applique ces conditions pour donner deux nouvelles preuves du problème de Nash pour les singularités sandwich minimales.
Mot clés : géométrie algébrique, espace des arcs, singularités sandwichs minimales, problème de Nash
Keywords: geometry algebraic, space of arcs, minimal sandwiched singularities, problem of Nash
@article{AIF_2005__55_3_805_0, author = {Pl\'enat, Camille}, title = {A propos du probl\`eme des arcs de {Nash}}, journal = {Annales de l'Institut Fourier}, pages = {805--823}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {55}, number = {3}, year = {2005}, doi = {10.5802/aif.2115}, mrnumber = {2149404}, zbl = {1080.14021}, language = {fr}, url = {http://archive.numdam.org/articles/10.5802/aif.2115/} }
TY - JOUR AU - Plénat, Camille TI - A propos du problème des arcs de Nash JO - Annales de l'Institut Fourier PY - 2005 SP - 805 EP - 823 VL - 55 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2115/ DO - 10.5802/aif.2115 LA - fr ID - AIF_2005__55_3_805_0 ER -
Plénat, Camille. A propos du problème des arcs de Nash. Annales de l'Institut Fourier, Volume 55 (2005) no. 3, pp. 805-823. doi : 10.5802/aif.2115. http://archive.numdam.org/articles/10.5802/aif.2115/
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