2-extensions of ℚ with trivial 2-primary Hilbert kernel
A bound for the torsion in the -theory of algebraic integers.
A characterization of the finite wild sets of rational self-equivalences
A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).
The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
A -adic regulator map and finiteness results for arithmetic schemes.
A reciprocity law for K2-traces.
Abelian local p-class field theory.
Algebraic -theory and etale cohomology
Algebraic -theory and sums-of-squares formulas.
Arithmetic infinite Grassmannians and the induced central extensions.
Automorphisms of Witt rings of global fields
We construct an uncountable set of strong automorphisms of the Witt ring of a global field.
Beilinson-Kato elements in K₂ of modular curves
Bounds For Étale Capitulation Kernels II
Let be an odd prime and a cyclic -extension of number fields. We give a lower bound for the order of the kernel and cokernel of the natural extension map between the even étale -groups of the ring of -integers of , where is a finite set of primes containing those which are -adic.
Capitulation for even -groups in the cyclotomic -extension.
Let be a prime number and be a number field. Since Iwasawa’s works, the behaviour of the -part of the ideal class group in the -extensions of has been well understood. Moreover, M. Grandet and J.-F. Jaulent gave a precise result about its abelian -group structure.On the other hand, the ideal class group of a number field may be identified with the torsion part of the of its ring of integers. The even -groups of rings of integers appear as higher versions of the class group. Many authors...
Class groups and general linear group cohomology for a ring of algebraic integers.
Codescente en K-théorie étale et corps de nombres.
Coleman power series for and -adic zeta functions of modular forms.
Conditions under which is not generated by Dennis-Stein symbols
Correction to the paper “Classical motivic polylogarithm according to Beilinson and Deligne”.
Densities of 4-ranks of K₂(𝒪)