The Chow ring of the stack of cyclic covers of the projective line

Fulghesu, Damiano; Viviani, Filippo

doi:10.5802/aif.2672

The Chow ring of the stack of cyclic covers of the projective line
[L’anneau d’intersection du champ des revêtements cycliques de la droite projective]

Fulghesu, Damiano ¹ ; Viviani, Filippo ²

¹ Université de Strasbourg et CNRS 7 IRMA, UMR 7501 7, rue René Descartes 67084 Strasbourg Cedex (France)
² Università degli Studi di Roma Tre Dipartimento di Matematica Largo San Leonardo Murialdo 1 00146 Roma (Italy)

Annales de l'Institut Fourier, Tome 61 (2011) no. 6, pp. 2249-2275.

Résumé
Abstract

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.

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.

EuDML MR Zbl

DOI : 10.5802/aif.2672

Classification : 14D23, 14H10, 14L30, 14H45, 20G10
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

Affiliations des auteurs :

Fulghesu, Damiano ¹ ; Viviani, Filippo ²

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     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},
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Fulghesu, Damiano; Viviani, Filippo. The Chow ring of the stack of cyclic covers of the projective line. Annales de l'Institut Fourier, Tome 61 (2011) no. 6, pp. 2249-2275. doi : 10.5802/aif.2672. http://www.numdam.org/articles/10.5802/aif.2672/

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