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math.NT2006
Local class field theory via Lubin-Tate theory
Teruyoshi Yoshida
We give a self-contained proof of local class field theory, via Lubin-Tate theory and the Hasse-Arf theorem, refining the arguments of Iwasawa's book. In the revised version, (i) p…
math.NT2004★ 1 cited
Compatibility of local and global Langlands correspondences
Richard Taylor, Teruyoshi Yoshida
We prove the compatibility of local and global Langlands correspondences for GL_n, which was proved up to semisimplification by Harris-Taylor. More precisely, for the n-dimensional…
math.NT2004
Abelian etale coverings of modular curves over local fields
Teruyoshi Yoshida
We relate a part of the abelian etale fundamental group of curves over local fields to the component group of the Neron model of the jacobian. We apply the result to the modular cu…