Subrings in imaginary quadratic fields which are not universal for GE₂
Tame kernels of cubic cyclic fields
The 3-ranks of tame kernels of cubic cyclic number fields
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 boundary of the Eisenstein symbol.
The boundary of the Eisenstein symbol (Erratum).
The structure of the tame kernels of quadratic number fields (II)
The structure of the tame kernels of quadratic number fields (I)
The tangent complex to the Bloch-Suslin complex
Motivated by a renewed interest for the “additive dilogarithm” appeared recently, the purpose of this paper is to complete calculations on the tangent complex to the Bloch-Suslin complex, initiated a long time ago and which were motivated at the time by scissors congruence of polyedra and homology of . The tangent complex to the trilogarithmic complex of Goncharov is also considered.
The torsion elements in K₂ of some local fields
Trivialité du -rang du noyau hilbertien
We give exhaustive list of biquadratic fields and without -exotic symbol, i.e. for which the -rank of the Hilbert kernel (or wild kernel) is zero. Such are logarithmic principals [J3]. We detail an exemple of this technical numerical exploration and quote the family of theories and results we utilize. The -rank of tame, regular and wild kernel of -theory are connected with local and global problem of embedding in a -extension. Global class field theory can describe the -rank of the Hilbert...
Zagier’s conjecture and Wedge complexes in algebraic -theory