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Théorèmes de Lefschetz et de Hodge arithmétiques pour les variétés admettant une décomposition cellulaire

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Part of the book series: Progress in Mathematics ((PM,volume 171))

Abstract

Soit π : X → Spec ℤ une variété arithmétique (i.e., un schéma plat, projectif, intègre et régulier sur Spec ℤ) de dimension absolue n + 1, et notons \(\widehat {C{H^*}}{\left( X \right)_\mathbb{R}}\) l’anneau de Chow arithmétique réel défini dans [GS3]; c’est un anneau gradué muni d’une application degré:

$$\widehat {\deg }:{\widehat {CH}^{n + 1}}{\left( X \right)_\mathbb{R}} \to \mathbb{R}$$

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Künnemann, K., Maillot, V. (2000). Théorèmes de Lefschetz et de Hodge arithmétiques pour les variétés admettant une décomposition cellulaire. In: Reznikov, A., Schappacher, N. (eds) Regulators in Analysis, Geometry and Number Theory. Progress in Mathematics, vol 171. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1314-7_8

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  • DOI: https://doi.org/10.1007/978-1-4612-1314-7_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7089-8

  • Online ISBN: 978-1-4612-1314-7

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