A remark on a conjecture of Hain and Looijenga

[Une remarque sur une conjecture de Hain et Looijenga]

Faber, Carel

Annales de l'Institut Fourier, Tome 61 (2011), p. 2745-2750 / Harvested from Numdam

Résumé

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.

Abstract

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.

Détail

Publié le : 2011-01-01

MR 3112506 | Zbl 1278.14037

DOI : https://doi.org/10.5802/aif.2792
Classification:  14H10,  13H10
Mots clés: Espaces de module des courbes, anneau tautologique, anneau de Gorenstein

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