Soit un germe de surface normale d’anneau local revêtant un germe de surface régulière d’anneau local de caractéristique . Étant donnée une extension d’anneaux de valuation dominant birationnellement , nous étudions l’existence d’une nouvelle paire d’anneaux locaux dominant birationnellement , telle que soit régulier et que n’ait que des singularités toriques. Cette dernière est construite lorsque est sans défaut ou lorsque le degré est .
Let be a germ of normal surface with local ring covering a germ of regular surface with local ring of characteristic . Given an extension of valuation rings birationally dominating , we study the existence of a new such pair of local rings birationally dominating , such that is regular and has only toric singularities. This is achieved when is defectless or when is equal to
Keywords: valuations, coverings, resolution of singularities
Mot clés : valuations, revêtements, résolution des singularités
@article{AIF_2003__53_4_1237_0, author = {Piltant, Olivier}, title = {On the {Jung} method in positive characteristic}, journal = {Annales de l'Institut Fourier}, pages = {1237--1258}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {53}, number = {4}, year = {2003}, doi = {10.5802/aif.1978}, mrnumber = {2033514}, zbl = {1078.14018}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1978/} }
TY - JOUR AU - Piltant, Olivier TI - On the Jung method in positive characteristic JO - Annales de l'Institut Fourier PY - 2003 SP - 1237 EP - 1258 VL - 53 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.1978/ DO - 10.5802/aif.1978 LA - en ID - AIF_2003__53_4_1237_0 ER -
%0 Journal Article %A Piltant, Olivier %T On the Jung method in positive characteristic %J Annales de l'Institut Fourier %D 2003 %P 1237-1258 %V 53 %N 4 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.1978/ %R 10.5802/aif.1978 %G en %F AIF_2003__53_4_1237_0
Piltant, Olivier. On the Jung method in positive characteristic. Annales de l'Institut Fourier, Colloque en l'honneur de Frédéric Pham, Tome 53 (2003) no. 4, pp. 1237-1258. doi : 10.5802/aif.1978. http://www.numdam.org/articles/10.5802/aif.1978/
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