Number Theory
Mass formula for supersingular Drinfeld modules

Presented by: Jean-Pierre Serre

Yu, Chia-Fu1; Yu, Jing2
1 Department of Mathematics, Columbia University, New York, NY 10027, USA
2 National Center for Theoretical Sciences and Department of Mathematics, National Tsing Hua University, Tsinchu, 30043 Taiwan, ROC
Comptes Rendus. Mathématique, Volume 338 (2004) no. 12, pp. 905-908.

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.

Nous démontrons une « formule de masse » pour les modules de Drinfeld supersinguliers. Cette formule généralise celle obtenue par Gekeler dans le cas de 𝔽 q [T]. La démonstration repose sur un calcul de nombres de Tamagawa.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2004.04.003
Yu, Chia-Fu 1; Yu, Jing 2

1 Department of Mathematics, Columbia University, New York, NY 10027, USA
2 National Center for Theoretical Sciences and Department of Mathematics, National Tsing Hua University, Tsinchu, 30043 Taiwan, ROC 
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Yu, Chia-Fu; Yu, Jing. Mass formula for supersingular Drinfeld modules. Comptes Rendus. Mathématique, Volume 338 (2004) no. 12, pp. 905-908. doi : 10.1016/j.crma.2004.04.003. https://www.numdam.org/articles/10.1016/j.crma.2004.04.003/

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