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.
A twisted class number formula and Gross's special units over an imaginary quadratic field
Let be a finite abelian extension of number fields with imaginary quadratic. Let be the ring of integers of and a rational integer. We construct a submodule in the higher odd-degree algebraic -groups of using corresponding Gross’s special elements. We show that this submodule is of finite index and prove that this index can be computed using the higher “twisted” class number of , which is the cardinal of the finite algebraic -group .
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.