We define the zero-th Gauss-Manin stratification of a stratified bundle with respect to a smooth morphism and use it to study the homotopy sequence of stratified fundamental group schemes.
On définit la stratification de Gauss-Manin d’un fibré stratifié relativement à un morphisme lisse et on l’utilise pour étudier la suite d’homotopie des groupes fondamentaux stratifiés.
Keywords: Stratified bundle, Gauss-Manin stratification, homotopy sequence
Mot clés : Fibré stratifié, Stratification de Gauss-Manin, Suite d’homotopie
Phùng, Hô Hai 1
@article{AIF_2013__63_6_2267_0, author = {Ph\`ung, H\^o Hai}, title = {Gauss-Manin stratification and stratified fundamental group schemes}, journal = {Annales de l'Institut Fourier}, pages = {2267--2285}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {63}, number = {6}, year = {2013}, doi = {10.5802/aif.2829}, mrnumber = {3237447}, zbl = {1298.14022}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2829/} }
TY - JOUR AU - Phùng, Hô Hai TI - Gauss-Manin stratification and stratified fundamental group schemes JO - Annales de l'Institut Fourier PY - 2013 SP - 2267 EP - 2285 VL - 63 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2829/ DO - 10.5802/aif.2829 LA - en ID - AIF_2013__63_6_2267_0 ER -
%0 Journal Article %A Phùng, Hô Hai %T Gauss-Manin stratification and stratified fundamental group schemes %J Annales de l'Institut Fourier %D 2013 %P 2267-2285 %V 63 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2829/ %R 10.5802/aif.2829 %G en %F AIF_2013__63_6_2267_0
Phùng, Hô Hai. Gauss-Manin stratification and stratified fundamental group schemes. Annales de l'Institut Fourier, Volume 63 (2013) no. 6, pp. 2267-2285. doi : 10.5802/aif.2829. https://aif.centre-mersenne.org/articles/10.5802/aif.2829/
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