Abstract
This chapter covers the Poitou–Tate theorems and applications.
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Notes
- 1.
We actually have much better: G. Chenevier and L. Clozel have in [11] proved that if there exist at least two primes p, q such that S contains all the places above p and q, then the set P contains all the prime numbers.
- 2.
K. Česnavičius [10] has obtained a version of the Poitou–Tate exact sequence without this assumption; see also González-Avilés [17] for the case of a function field.
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Harari, D. (2020). Poitou–Tate Duality. In: Galois Cohomology and Class Field Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-43901-9_17
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DOI: https://doi.org/10.1007/978-3-030-43901-9_17
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