Tamagawa numbers for motives with (non-commutative) coefficients.
Tame kernels of cubic cyclic fields
Tame kernels of cyclic extensions of number fields
Tame kernels of quintic cyclic fields
Tamely ramified Hida theory
Let be the Jacobian of the modular curve associated with and the one associated with . We study as a Hecke and Galois-module. We relate a certain matrix of -adic periods to the infinitesimal deformation of the -operator.
Tate conjecture for twisted Siegel modular threefolds
Tate sequences and lower bounds for ranks of class groups
Tate sequences play a major role in modern algebraic number theory. The extension class of a Tate sequence is a very subtle invariant which comes from class field theory and is hard to grasp. In this short paper we demonstrate that one can extract information from a Tate sequence without knowing the extension class in two particular situations. For certain totally real fields K we will find lower bounds for the rank of the ℓ-part of the class group Cl(K), and for certain CM fields we will find lower...
Teilkörper relativ abelscher Erweiterungen imaginär-quadratischer Zahlkörper, deren Klassenzahl durch Primteiler des Körpergrades teilbar ist.
Tentative de description immobilière de quelques représentations intégrales de groupes finis (avec l'aide de Guy Rousseau)
Ternary quadratic forms that represent zero: the function field case
The 2-class group of certain biquadratic number fields.
The 2-divisibility of the class number of cyclotomic fields and the Stickelberger ideal.
The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
1. Introduction. Let F be a number field and the ring of its integers. Many results are known about the group , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of . As compared with real quadratic fields, the 2-Sylow subgroups of for imaginary quadratic fields F are more difficult to deal with. The objective of this paper is to prove a few theorems on the structure of the 2-Sylow subgroups of for imaginary quadratic fields F. In our Ph.D. thesis (see...
The 3-ranks of tame kernels of cubic cyclic number fields
The 4-class ranks of quadratic fields related to the Weyl group algebra.
The 4-rank of for real quadratic fields F
The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
The 8-rank of tame kernels of quadratic number fields
The abc-inequality and the generalized Fermat equation in function fields
The Action of the Canonical Involution on Modular Forms of Weight 2 on ...0 (M).