On définit un analogue en géométrie analytique non archimédienne de l'entrelac d'une singularité, et on l'utilise pour étudier les surfaces sur un corps algébriquement clos. Cela donne une caractérisation des valuations log-essentielles.
We define a non-Archimedean analytic version of the link of a singularity, and we use it to study surfaces over an algebraically closed field. This yields a characterization of log essential valuations.
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@article{CRMATH_2014__352_9_719_0, author = {Fantini, Lorenzo}, title = {Normalized {non-Archimedean} links and surface singularities}, journal = {Comptes Rendus. Math\'ematique}, pages = {719--723}, publisher = {Elsevier}, volume = {352}, number = {9}, year = {2014}, doi = {10.1016/j.crma.2014.06.010}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2014.06.010/} }
TY - JOUR AU - Fantini, Lorenzo TI - Normalized non-Archimedean links and surface singularities JO - Comptes Rendus. Mathématique PY - 2014 SP - 719 EP - 723 VL - 352 IS - 9 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2014.06.010/ DO - 10.1016/j.crma.2014.06.010 LA - en ID - CRMATH_2014__352_9_719_0 ER -
%0 Journal Article %A Fantini, Lorenzo %T Normalized non-Archimedean links and surface singularities %J Comptes Rendus. Mathématique %D 2014 %P 719-723 %V 352 %N 9 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2014.06.010/ %R 10.1016/j.crma.2014.06.010 %G en %F CRMATH_2014__352_9_719_0
Fantini, Lorenzo. Normalized non-Archimedean links and surface singularities. Comptes Rendus. Mathématique, Tome 352 (2014) no. 9, pp. 719-723. doi : 10.1016/j.crma.2014.06.010. http://www.numdam.org/articles/10.1016/j.crma.2014.06.010/
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