AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We give a proof of the Quillen–Lichtenbaum conjecture at the prime 2 and prove explicit corank formulas for the algebraic K-groups with divisible coefficients. At odd primes these formulas assume the Bloch–Kato conjecture, at the prime 2 the formulas hold nonconjecturally
AbstractLet X be a smooth projective curve over a finite field. The main result is that the odd-dime...
This thesis consists of 8 chapters in which we discuss various aspects of arithmetic. In the first c...
Abstract. We conjecture that if C is a curve of genus> 1 over a number field k such that C(k) = ...
AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We...
In this paper we consider the Quillen-Lichtenbaum conjecture for number fields using description of ...
Pour X une courbe sur un corps global k, lisse, projective et géométriquement connexe, nous détermin...
The algebraic K-theory of Quillen [30], inherently, is a multiplicative theory. Trace invariants all...
Pour X une courbe sur un corps global k, lisse, projective et géométriquement connexe, nous détermin...
AbstractLet X be a smooth projective curve over a finite field. The main result is that the odd-dime...
This dissertation is a collection of four research articles devoted tothe study of Kummer theory for...
This dissertation is a collection of four research articles devoted tothe study of Kummer theory for...
Algebraic K-Theory has become an increasingly active area of research. With its connections to algeb...
. We explicitly calculate all the 2-primary higher algebraic K-groups of the rings of integers of al...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. Let...
This volume contains previously unpublished papers on algebraic K-theory written by Leningrad mathem...
AbstractLet X be a smooth projective curve over a finite field. The main result is that the odd-dime...
This thesis consists of 8 chapters in which we discuss various aspects of arithmetic. In the first c...
Abstract. We conjecture that if C is a curve of genus> 1 over a number field k such that C(k) = ...
AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We...
In this paper we consider the Quillen-Lichtenbaum conjecture for number fields using description of ...
Pour X une courbe sur un corps global k, lisse, projective et géométriquement connexe, nous détermin...
The algebraic K-theory of Quillen [30], inherently, is a multiplicative theory. Trace invariants all...
Pour X une courbe sur un corps global k, lisse, projective et géométriquement connexe, nous détermin...
AbstractLet X be a smooth projective curve over a finite field. The main result is that the odd-dime...
This dissertation is a collection of four research articles devoted tothe study of Kummer theory for...
This dissertation is a collection of four research articles devoted tothe study of Kummer theory for...
Algebraic K-Theory has become an increasingly active area of research. With its connections to algeb...
. We explicitly calculate all the 2-primary higher algebraic K-groups of the rings of integers of al...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. Let...
This volume contains previously unpublished papers on algebraic K-theory written by Leningrad mathem...
AbstractLet X be a smooth projective curve over a finite field. The main result is that the odd-dime...
This thesis consists of 8 chapters in which we discuss various aspects of arithmetic. In the first c...
Abstract. We conjecture that if C is a curve of genus> 1 over a number field k such that C(k) = ...
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