4 citations · 4 across the 6 of their papers we have counts for
6 papers
On Lubin-Tate regulator maps and Kato's explicit reciprocity law
Takamichi Sano, Otmar Venjakob
We extend the interpolation property of the Lubin-Tate regulator map from [SV24] to Artin characters and show a reciprocity law in the sense of Cherbonnier-Colmez. This allows us t…
Explicit Reciprocity Laws in Iwasawa Theory -- A survey with some focus on the Lubin-Tate setting
Otmar Venjakob
Starting from Gauß' and Legendre's quadratic reciprocity law we want to sketch how it gave rise to the development of higher and generalized reciprocity laws and over all explicit…
Compairing categories of Lubin-Tate -modules
Peter Schneider, Otmar Venjakob
In the Lubin-Tate setting we compare different categories of -modules over various perfect or imperfect coefficient rings. Moreover, we study their associated Herr-compl…
Reciprocity laws for -modules over Lubin-Tate extensions
Peter Schneider, Otmar Venjakob
In the Lubin-Tate setting we study pairings for analytic -modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Riou…
Galois invariants of K_1-groups of Iwasawa algebras
Dmitriy Izychev, Otmar Venjakob
We study Galois descent of K_1 of group algebras with coefficients in certain subrings of the ring of integers of C_p, the completion of an algebraic closure of Q_p.
On the non-commutative Main Conjecture for elliptic curves with complex multiplication
Thanasis Bouganis, Otmar Venjakob
In arXiv:math/0404297 a non-commutative Iwasawa Main Conjecture for elliptic curves over has been formulated. In this note we show that it holds for all CM-elliptic cu…