Reciprocity Laws for $(\varphi_L,\Gamma_L)$-Modules over Lubin–Tate Extensions

von Peter Schneider, Otmar Venjakob

Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Memoirs of the European Mathematical Society
• ISBN: 9783985471003
• Sprache: Englisch
• Erscheinungsdatum: 01.10.2025
• Genre: Mathematik
• Verlag: EMS Press