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Hidden Symmetries in the Theory of Complex Multiplication

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Algebra, Arithmetic, and Geometry

Part of the book series: Progress in Mathematics ((PM,volume 270))

Summary

It is (almost) known that the Galois action on etale cohomology of a Hilbert modular variety extends to an action of a bigger group. We show that this bigger group acts on the set of CM points.

2000 Mathematics Subject Classifications: 11G15, 11F41

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Author information

Authors and Affiliations

  1. Institut de Mathématiques de Jussieu, Théorie des Nombres, Case 247, Université Pierre et Marie Curie (Paris 6), 4 place Jussieu, F-75252, Paris cedex 05, FRANCE

    Jan Nekovář

Authors
  1. Jan Nekovář
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Correspondence to Jan Nekovář .

Editor information

Editors and Affiliations

  1. Courant Inst. Mathematical, New York University, Mercer St. 251, New York, 10012, USA

    Yuri Tschinkel

  2. Eberly College of Science, Pennsylvania State University, University Park, 16802, USA

    Yuri Zarhin

Additional information

To Yuri Manin on the occasion of his 70th birthday, with admiration

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Nekovář, J. (2009). Hidden Symmetries in the Theory of Complex Multiplication. In: Tschinkel, Y., Zarhin, Y. (eds) Algebra, Arithmetic, and Geometry. Progress in Mathematics, vol 270. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4747-6_13

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