2-extensions of ℚ with trivial 2-primary Hilbert kernel
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 reciprocity law for K2-traces.
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
Conditions under which is not generated by Dennis-Stein symbols
Elements of order 4 of the Hilbert kernel in quadratic number fields
Generalized Artin-Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field. II.
Hilbert symbols as maps of functors
Jacobienne locale d'une courbe formelle relative
On the 4-rank of tame kernels of quadratic number fields
On the cyclotomic elements in K₂ of a rational function field
If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.
On the elements of prime power order in K₂ of a number field
On the odd part of tame kernels of biquadratic number fields
On the structure of Milnor -groups of certain complete discrete valuation fields
For a typical example of a complete discrete valuation field of type II in the sense of [12], we determine the graded quotients for all . In the Appendix, we describe the Milnor -groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.
p-adic periods and modular symbols of elliptic curves of prime conductor.
Real Grassmann polylogarithms and Chern classes.
Relations between K2 and Galois Cohomology.