[Volume des structures hyperboliques complexes et intersection des diviseurs de bord des espaces de modules de surfaces de Riemann pointées de genre zéro.]
Nous démontrons que les métriques hyperboliques complexes introduites par Deligne-Mostow et Thurston sur l'espace de modules de surfaces de Riemann de genre zéro avec
We show that the complex hyperbolic metrics defined by Deligne-Mostow and Thurston on
Keywords: Moduli spaces of genus zero curves with marked points, flat surfaces, complex hyperbolic cone manifolds, singular Kähler-Einstein metrics.
Mot clés : Espaces de modules de courbes à points marqués en genre zéro, surfaces plates, variétés coniques hyperboliques complexes, métriques Kähler-Einstein singulières.
@article{ASENS_2018__51_6_1549_0, author = {Koziarz, Vincent and Nguyen, Duc-Manh}, title = {Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of pointed genus zero curves}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {1549--1597}, publisher = {Soci\'et\'e Math\'ematique de France. Tous droits r\'eserv\'es}, volume = {Ser. 4, 51}, number = {6}, year = {2018}, doi = {10.24033/asens.2381}, mrnumber = {3940904}, zbl = {1422.32020}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.2381/} }
TY - JOUR AU - Koziarz, Vincent AU - Nguyen, Duc-Manh TI - Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of pointed genus zero curves JO - Annales scientifiques de l'École Normale Supérieure PY - 2018 SP - 1549 EP - 1597 VL - 51 IS - 6 PB - Société Mathématique de France. Tous droits réservés UR - http://www.numdam.org/articles/10.24033/asens.2381/ DO - 10.24033/asens.2381 LA - en ID - ASENS_2018__51_6_1549_0 ER -
%0 Journal Article %A Koziarz, Vincent %A Nguyen, Duc-Manh %T Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of pointed genus zero curves %J Annales scientifiques de l'École Normale Supérieure %D 2018 %P 1549-1597 %V 51 %N 6 %I Société Mathématique de France. Tous droits réservés %U http://www.numdam.org/articles/10.24033/asens.2381/ %R 10.24033/asens.2381 %G en %F ASENS_2018__51_6_1549_0
Koziarz, Vincent; Nguyen, Duc-Manh. Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of pointed genus zero curves. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 51 (2018) no. 6, pp. 1549-1597. doi : 10.24033/asens.2381. http://www.numdam.org/articles/10.24033/asens.2381/
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