Chevalley's ambiguous class number formula for an arbitrary torus

• Autores: Cristian D. González Avilés
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 5-6, 2008, págs. 1149-1165
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n6.a7
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• Resumen

  • In this paper we obtain Chevalley's ambiguous class number formula for an arbitrary torus $T$ over a global field. The classical formula of C.Chevalley may be recovered by setting $T=\bg_{m}$ in our formula. A key ingredient of the proof is the work of X.Xarles on groups of components of N\'eron-Raynaud models of tori.