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Une remarque à propos des cycles de Hodge de type C M

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Séminaire de Théorie des Nombres, Paris, 1989–90

Part of the book series: Progress in Mathematics ((PM,volume 102))

Résumé

Dans sa preuve [2] du fait que la notion de cycle de Hodge sur une variété abélienne complexe est absolue (invariante par automorphisme de ℂ), P. Deligne s’appuie sur deux principes:

  1. (A)

    les cycles invariants sous le groupe qui fixe les cycles de Hodge absolus sont tous de Hodge absolus,

  2. (B)

    la notion de cycle de Hodge absolu est invariante par déformation plate.

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Bibliographie

  1. S. Bloch. — Semi-regularity and de Rham cohomology, Inv. Math. 17, (1972), 51–66.

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Author information

Authors and Affiliations

  1. I.H.P, 11, rue Pierre et Marie Curie, 75231, Paris Cedex 05, France

    Yves André

Authors
  1. Yves André
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Editor information

Editors and Affiliations

  1. Département de Mathématiques, Université de Paris-Sud, Centre d’Orsay, F-91405, Orsay Cedex, France

    Sinnou David

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© 1992 Springer Science+Business Media New York

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André, Y. (1992). Une remarque à propos des cycles de Hodge de type C M . In: David, S. (eds) Séminaire de Théorie des Nombres, Paris, 1989–90. Progress in Mathematics, vol 102. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-4269-5_1

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  • DOI: https://doi.org/10.1007/978-1-4757-4269-5_1

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-4270-1

  • Online ISBN: 978-1-4757-4269-5

  • eBook Packages: Springer Book Archive

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