In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.
Dans ce travail nous calculons l’anneau d’intersection avec des coef- ficients entiers du champ des revêtements cycliques lisses et uniformes de la droite projective. Nous explicitons aussi tous les générateurs.
Keywords: Intersection theory, cyclic covers, algebraic stacks, moduli stacks of curves
Mot clés : théorie de l’intersection, revêtements cycliques, champs algébriques, champs de modules des courbes
@article{AIF_2011__61_6_2249_0, author = {Fulghesu, Damiano and Viviani, Filippo}, title = {The {Chow} ring of the stack of cyclic covers of the projective line}, journal = {Annales de l'Institut Fourier}, pages = {2249--2275}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {6}, year = {2011}, doi = {10.5802/aif.2672}, zbl = {1254.14016}, mrnumber = {2976310}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2672/} }
TY - JOUR AU - Fulghesu, Damiano AU - Viviani, Filippo TI - The Chow ring of the stack of cyclic covers of the projective line JO - Annales de l'Institut Fourier PY - 2011 SP - 2249 EP - 2275 VL - 61 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2672/ DO - 10.5802/aif.2672 LA - en ID - AIF_2011__61_6_2249_0 ER -
%0 Journal Article %A Fulghesu, Damiano %A Viviani, Filippo %T The Chow ring of the stack of cyclic covers of the projective line %J Annales de l'Institut Fourier %D 2011 %P 2249-2275 %V 61 %N 6 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2672/ %R 10.5802/aif.2672 %G en %F AIF_2011__61_6_2249_0
Fulghesu, Damiano; Viviani, Filippo. The Chow ring of the stack of cyclic covers of the projective line. Annales de l'Institut Fourier, Volume 61 (2011) no. 6, pp. 2249-2275. doi : 10.5802/aif.2672. http://archive.numdam.org/articles/10.5802/aif.2672/
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