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Elementary Theory of ladia Integration
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abelian extension absolute Weil group Artin canonical isomorphism central simple algebras Chapter characteristic function class field theory conductor contained COROLLARY corresponding cosets defined definition denote differental exponent discriminant elliptic curve equation exact sequence explicit formulas factor set finite degree finite extension finite index fixed field Frobenius automorphism Gal(K Gal(L/K Galois extension Galois group given GL(V group extension group G group scheme Haar measure hence Herbrand distribution homomorphism implies induces integers inverse irreducible isomorphism L-functions lemma Let G maximal unramified extension member of F module morphism neighborhood non-archimedean local field normal notations number field number theory observe obtain open subgroup order of ramification p-adic polynomial prime element projective limit properties proves quotient ramification theory relative Weil group representation residue class field residue field resp result Riemann root separable closure subfield subset surjective tion topology transfer homomorphism unramified Weierstrass form