We show that the natural generalization of a conjecture of Hain and Looijenga to the case of pointed curves holds for all and if and only if the tautological rings of the moduli spaces of curves with rational tails and of stable curves are Gorenstein.
Nous montrons que la généralisation naturelle d’une conjecture de Hain et Looijenga au cas des courbes épointées tient pour tout et 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.
Keywords: Moduli spaces of curves, tautological ring, Gorenstein ring
Mot clés : Espaces de module des courbes, anneau tautologique, anneau de Gorenstein
Faber, Carel 1
@article{AIF_2011__61_7_2745_0, author = {Faber, Carel}, title = {A remark on a conjecture of {Hain} and {Looijenga}}, journal = {Annales de l'Institut Fourier}, pages = {2745--2750}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {7}, year = {2011}, doi = {10.5802/aif.2792}, mrnumber = {3112506}, zbl = {1278.14037}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2792/} }
TY - JOUR AU - Faber, Carel TI - A remark on a conjecture of Hain and Looijenga JO - Annales de l'Institut Fourier PY - 2011 SP - 2745 EP - 2750 VL - 61 IS - 7 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2792/ DO - 10.5802/aif.2792 LA - en ID - AIF_2011__61_7_2745_0 ER -
%0 Journal Article %A Faber, Carel %T A remark on a conjecture of Hain and Looijenga %J Annales de l'Institut Fourier %D 2011 %P 2745-2750 %V 61 %N 7 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2792/ %R 10.5802/aif.2792 %G en %F AIF_2011__61_7_2745_0
Faber, Carel. A remark on a conjecture of Hain and Looijenga. Annales de l'Institut Fourier, Volume 61 (2011) no. 7, pp. 2745-2750. doi : 10.5802/aif.2792. https://aif.centre-mersenne.org/articles/10.5802/aif.2792/
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