Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Venjakob, Otmar"'
Autor:
Sano, Takamichi, Venjakob, Otmar
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 to provide a new proof of Kato's explicit reciprocity law for Lubin-Tat
Externí odkaz:
http://arxiv.org/abs/2412.12429
Inspired by Nakamura's work (arXiv:1305.0880) on $\epsilon$-isomorphisms for $(\varphi,\Gamma)$-modules over (relative) Robba rings with respect to the cyclotomic theory, we formulate an analogous conjecture for $L$-analytic Lubin-Tate $(\varphi_L,\G
Externí odkaz:
http://arxiv.org/abs/2404.09974
Autor:
Venjakob, Otmar
Starting from Gau{\ss}' 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 reciprocity formulas in Iwasawa theory.
Externí odkaz:
http://arxiv.org/abs/2311.08237
Autor:
Schneider, Peter, Venjakob, Otmar
In the Lubin-Tate setting we compare different categories of $(\varphi_L,\Gamma_L)$-modules over various perfect or imperfect coefficient rings. Moreover, we study their associated Herr-complexes. Finally, we show that a Lubin Tate extension gives ri
Externí odkaz:
http://arxiv.org/abs/2301.11617
Autor:
Schneider, Peter, Venjakob, Otmar
In the Lubin-Tate setting we study pairings for analytic $(\varphi_L,\Gamma_L)$-modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Riou's Big Exponential map as developed by Berger and Fourquaux
Externí odkaz:
http://arxiv.org/abs/2301.11606
Autor:
Kupferer, Benjamin, Venjakob, Otmar
In this article we extend work of Herr from the case of cyclotomic $(\varphi,\Gamma)$-modules to the general case of Lubin-Tate $(\varphi,\Gamma)$-modules. In particular, we define generalized $\varphi$- and $\psi$-Herr complexes, which calculate Gal
Externí odkaz:
http://arxiv.org/abs/2006.07895
Autor:
Thomas, Oliver, Venjakob, Otmar
In \citenospec{MR1097615} several spectral sequences for (global and local) Iwasawa modules over (not necessarily commutative) Iwasawa algebras (mainly of $p$-adic Lie groups) over $\Z_p$ are established, which are very useful for determining certain
Externí odkaz:
http://arxiv.org/abs/1710.10840
Autor:
Bellovin, Rebecca, Venjakob, Otmar
We prove the local epsilon-isomorphism conjecture of Fukaya and Kato [FK06] for certain crystalline families of G_Qp-representations. This conjecture can be regarded as a local analogue of the Iwasawa main conjecture for families. Our work extends ea
Externí odkaz:
http://arxiv.org/abs/1610.09920
Autor:
Schneider, Peter, Venjakob, Otmar
For the $p$-cyclotomic tower of $\mathbb{Q}_p$ Fontaine established a description of local Iwasawa cohomology with coefficients in a local Galois representation $V$ in terms of the $\psi$-operator acting on the attached etale $(\varphi,\Gamma)$-modul
Externí odkaz:
http://arxiv.org/abs/1511.04922
Autor:
Venjakob, Otmar.
Heidelberg, Univ., Diss., 2001.
Externí odkaz:
http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB9590147