The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

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

Similarity:

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

Similarity:

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 p -extensions

Radan Kučera (2003)

Journal de théorie des nombres de Bordeaux

Similarity:

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