Nous décrivons l’anneau tautologique de l’espace des modules des courbes stables de genre un de type compact avec points marqués. On prouve que c’est une algèbre de Gorenstein.
We describe the tautological ring of the moduli space of stable -pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.
Keywords: Moduli of curves, tautological rings
Mot clés : anneau tautologique, espace de modules des courbes
@article{AIF_2011__61_7_2751_0, author = {Tavakol, Mehdi}, title = {The tautological ring of $M_{1,n}^{ct}$}, journal = {Annales de l'Institut Fourier}, pages = {2751--2779}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {7}, year = {2011}, doi = {10.5802/aif.2793}, mrnumber = {3112507}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2793/} }
TY - JOUR AU - Tavakol, Mehdi TI - The tautological ring of $M_{1,n}^{ct}$ JO - Annales de l'Institut Fourier PY - 2011 SP - 2751 EP - 2779 VL - 61 IS - 7 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2793/ DO - 10.5802/aif.2793 LA - en ID - AIF_2011__61_7_2751_0 ER -
%0 Journal Article %A Tavakol, Mehdi %T The tautological ring of $M_{1,n}^{ct}$ %J Annales de l'Institut Fourier %D 2011 %P 2751-2779 %V 61 %N 7 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2793/ %R 10.5802/aif.2793 %G en %F AIF_2011__61_7_2751_0
Tavakol, Mehdi. The tautological ring of $M_{1,n}^{ct}$. Annales de l'Institut Fourier, Tome 61 (2011) no. 7, pp. 2751-2779. doi : 10.5802/aif.2793. http://archive.numdam.org/articles/10.5802/aif.2793/
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