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Cohomology of the Idèles: The Class Field Axiom

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Galois Cohomology and Class Field Theory

Part of the book series: Universitext ((UTX))

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Abstract

This chapter starts global class field theory: cohomology of idèles, Kummer extensions, second inequality.

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Notes

  1. 1.

    Some authors do not require this condition, but we will not need the infinite case.

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Correspondence to David Harari .

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Harari, D. (2020). Cohomology of the Idèles: The Class Field Axiom. In: Galois Cohomology and Class Field Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-43901-9_13

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