Local-global principles for Galois cohomology

@article{Harbater2012LocalglobalPF,
  title={Local-global principles for Galois cohomology},
  author={David Harbater and Julia Hartmann and Daniel Krashen},
  journal={arXiv: Number Theory},
  year={2012}
}
  • David Harbater, Julia Hartmann, Daniel Krashen
  • Published 2012
  • Mathematics
  • arXiv: Number Theory
  • This paper proves local-global principles for Galois cohomology groups over function fields $F$ of curves that are defined over a complete discretely valued field. We show in particular that such principles hold for $H^n(F, Z/mZ(n-1))$, for all $n>1$. This is motivated by work of Kato and others, where such principles were shown in related cases for $n=3$. Using our results in combination with cohomological invariants, we obtain local-global principles for torsors and related algebraic… CONTINUE READING

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