<p>Under some technical assumptions of a global nature, we establish the weight part of Serre’s conjecture for mod <i>p</i> Galois representations for CM fields that are tamely ramified and sufficiently generic at <i>p</i>.</p>

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The Weight Part of Serre’s Conjecture over CM Fields

  • Daniel Le,
  • Bao V. Le Hung

摘要

Under some technical assumptions of a global nature, we establish the weight part of Serre’s conjecture for mod p Galois representations for CM fields that are tamely ramified and sufficiently generic at p.