Nous démontrons une « formule de masse » pour les modules de Drinfeld supersinguliers. Cette formule généralise celle obtenue par Gekeler dans le cas de . La démonstration repose sur un calcul de nombres de Tamagawa.
We generalize Gekeler's mass formula for supersingular Drinfeld modules from rational function fields to arbitrary global function fields. The proof is based on a calculation of Tamagawa numbers.
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@article{CRMATH_2004__338_12_905_0, author = {Yu, Chia-Fu and Yu, Jing}, title = {Mass formula for supersingular {Drinfeld} modules}, journal = {Comptes Rendus. Math\'ematique}, pages = {905--908}, publisher = {Elsevier}, volume = {338}, number = {12}, year = {2004}, doi = {10.1016/j.crma.2004.04.003}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2004.04.003/} }
TY - JOUR AU - Yu, Chia-Fu AU - Yu, Jing TI - Mass formula for supersingular Drinfeld modules JO - Comptes Rendus. Mathématique PY - 2004 SP - 905 EP - 908 VL - 338 IS - 12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2004.04.003/ DO - 10.1016/j.crma.2004.04.003 LA - en ID - CRMATH_2004__338_12_905_0 ER -
%0 Journal Article %A Yu, Chia-Fu %A Yu, Jing %T Mass formula for supersingular Drinfeld modules %J Comptes Rendus. Mathématique %D 2004 %P 905-908 %V 338 %N 12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2004.04.003/ %R 10.1016/j.crma.2004.04.003 %G en %F CRMATH_2004__338_12_905_0
Yu, Chia-Fu; Yu, Jing. Mass formula for supersingular Drinfeld modules. Comptes Rendus. Mathématique, Tome 338 (2004) no. 12, pp. 905-908. doi : 10.1016/j.crma.2004.04.003. http://archive.numdam.org/articles/10.1016/j.crma.2004.04.003/
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