A remark on a conjecture of Hain and Looijenga
[Une remarque sur une conjecture de Hain et Looijenga]
Annales de l'Institut Fourier, Tome 61 (2011) no. 7, pp. 2745-2750.

Nous montrons que la généralisation naturelle d’une conjecture de Hain et Looijenga au cas des courbes épointées tient pour tout g et n si et seulement si les anneaux tautologiques des espaces des modules des courbes à queues rationnelles et des courbes stables sont des anneaux de Gorenstein.

We show that the natural generalization of a conjecture of Hain and Looijenga to the case of pointed curves holds for all g and n if and only if the tautological rings of the moduli spaces of curves with rational tails and of stable curves are Gorenstein.

DOI : 10.5802/aif.2792
Classification : 14H10, 13H10
Keywords: Moduli spaces of curves, tautological ring, Gorenstein ring
Mot clés : Espaces de module des courbes, anneau tautologique, anneau de Gorenstein
Faber, Carel 1

1 Department of Mathematics, KTH Royal Institute of Technology, Lindstedtsvägen 25, 10044 Stockholm, Sweden.
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Faber, Carel. A remark on a conjecture of Hain and Looijenga. Annales de l'Institut Fourier, Tome 61 (2011) no. 7, pp. 2745-2750. doi : 10.5802/aif.2792. http://www.numdam.org/articles/10.5802/aif.2792/

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