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A connectedness criterion for ℓ-adic galois representations-adic galois representations

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Abstract

To every compatible system of Galois representations of a global fieldK, there is associated a natural invariantK conn, the smallest extension ofK over which the associated algebraic monodromy groups become connected. We present a purely field-theoretic construction ofK conn for all Galois representations arising from cohomology.

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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, 19104, Philadelphia, PA, USA

    Michael Larsen

  2. Fakultät für Mathematik und Informatik, Universität Mannheim, D-68131, Mannheim, Germany

    Richard Pink

Authors
  1. Michael Larsen
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  2. Richard Pink
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Correspondence to Michael Larsen.

Additional information

Partially supported by the Sloan Foundation and by NSF Grant DMS94-00833.

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Larsen, M., Pink, R. A connectedness criterion for ℓ-adic galois representations-adic galois representations. Isr. J. Math. 97, 1–10 (1997). https://doi.org/10.1007/BF02774022

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  • DOI: https://doi.org/10.1007/BF02774022

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