Displaying similar documents to “Local Class Field Theory via Lubin-Tate Theory”

Towards explicit description of ramification filtration in the 2-dimensional case

Victor Abrashkin (2004)

Journal de Théorie des Nombres de Bordeaux

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The principal result of this paper is an explicit description of the structure of ramification subgroups of the Galois group of 2-dimensional local field modulo its subgroup of commutators of order ≥ 3 . This result plays a clue role in the author’s proof of an analogue of the Grothendieck Conjecture for higher dimensional local fields, cf. Proc. Steklov Math. Institute, vol.  241, 2003, pp.  2-34.

Ramification groups in Artin-Schreier-Witt extensions

Lara Thomas (2005)

Journal de Théorie des Nombres de Bordeaux

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Let K be a local field of characteristic p > 0 . The aim of this paper is to describe the ramification groups for the pro- p abelian extensions over K with regards to the Artin-Schreier-Witt theory. We shall carry out this investigation entirely in the usual framework of local class field theory. This leads to a certain non-degenerate pairing that we shall define in detail, generalizing in this way the Schmid formula to Witt vectors of length n . Along the way, we recover a result of Brylinski...

A note on circular units in ℤ p -extensions

Radan Kučera (2003)

Journal de théorie des nombres de Bordeaux

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In this note we consider projective limits of Sinnott and Washington groups of circular units in the cyclotomic ℤ p -extension of an abelian field. A concrete example is given to show that these two limits do not coincide in general.