A bound for the torsion in the -theory of algebraic integers.
A -adic regulator map and finiteness results for arithmetic schemes.
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 .
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...