188 citations · 269 across the 27 of their papers we have counts for
28 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…
-isomorphisms for rank one -modules over Lubin-Tate Robba rings
Milan Malcic, Rustam Steingart, Otmar Venjakob +1
Inspired by Nakamura's work (arXiv:1305.0880) on -isomorphisms for -modules over (relative) Robba rings with respect to the cyclotomic theory, we formulate an analogous c…
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…
Herr-complexes in the Lubin-Tate setting
Benjamin Kupferer, Otmar Venjakob
In this article we extend work of Herr from the case of cyclotomic -modules to the general case of Lubin-Tate -modules. In particular, we define generalized - and…