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arXiv · 2301.11606

Reciprocity laws for $(\varphi_L,\Gamma_L)$-modules over Lubin-Tate extensions

Peter Schneider·Otmar Venjakob
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Abstract

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 and a $p$-adic regulator map whose construction relies on the theory of Kisin-Ren modules generalising the concept of Wach modules to the Lubin-Tate situation.

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Peter Schneider, Otmar Venjakob. 2023-01-27. Reciprocity laws for $(\varphi_L,\Gamma_L)$-modules over Lubin-Tate extensions. https://arxiv.org/abs/2301.11606

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