A bound for the torsion in the -theory of algebraic integers.
A -adic regulator map and finiteness results for arithmetic schemes.
Algebraic -theory and etale cohomology
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.
Codescente en K-théorie étale et corps de nombres.
Coleman power series for and -adic zeta functions of modular forms.
Correction to the paper “Classical motivic polylogarithm according to Beilinson and Deligne”.
Erratum “Algebraic -theory and etale cohomology”
Fonctions polylogarithmes, nombres polyzêtas et groupes pro-unipotents
Generalization of the Moore exact sequence and the wild kernel for higher K-groups
Groupes fondamentaux motiviques de Tate mixte
Higher regulators and Hecke L-series of imaginary quadratic fields I.
Homologie du groupe linéaire et polylogarithmes
Karoubi’s relative Chern character and Beilinson’s regulator
We construct a variant of Karoubi’s relative Chern character for smooth varieties over and prove a comparison result with Beilinson’s regulator with values in Deligne-Beilinson cohomology. As a corollary we obtain a new proof of Burgos’ Theorem that for number fields Borel’s regulator is twice Beilinson’s regulator.
-adic realization of geometric triangular motives. I. (Réalisation -adique des motifs triangulés géométriques. I.)
L-values and the Fitting ideal of the tame kernel for relative quadratic extensions
Motivic complexes of Suslin and Voevodsky
On Bott-periodic algebraic K-theory.
Let K*(A;Z/ln) denote the mod-ln algebraic K-theory of a Z[1/l]-algebra A. Snaith ([14], [15], [16]) has studied Bott-periodic algebraic theory Ki(A;Z/ln)[1/βn], a localized version of K*(A;Z/ln) obtained by inverting a Bott element βn. For l an odd prime, Snaith has given a description of K*(A;Z/ln)[1/βn] using Adams maps between Moore spectra. These constructions are interesting, in particular for their connections with Lichtenbaum-Quillen conjecture [16].In this paper we obtain a description...
On Jannsen's conjecture for Hecke characters of imaginary quadratic fields.
We present a collection of results on a conjecture of Jannsen about the p-adic realizations associated to Hecke characters over an imaginary quadratic field K of class number 1.The conjecture is easy to check for Galois groups purely of local type (Section 1). In Section 2 we define the p-adic realizations associated to Hecke characters over K. We prove the conjecture under a geometric regularity condition for the imaginary quadratic field K at p, which is related to the property that a global Galois...
On the equivariant main conjecture of Iwasawa theory