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F-split Galois representations are potentially abelian

数论 2007-05-23 v1

摘要

In this note we relate the property of a semisimple l-adic Galois representation being "F-split" for a number field F to its having abelian image. By F-split we mean that the characteristic polynomials of Frobenii all split in F.

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引用

@article{arxiv.math/0210402,
  title  = {F-split Galois representations are potentially abelian},
  author = {Chandrashekhar Khare},
  journal= {arXiv preprint arXiv:math/0210402},
  year   = {2007}
}