On Universal Norms for $p$-adic Representations in Higher Rank Iwasawa Theory

Autor:	Bullach, Dominik, Daoud, Alexandre
Rok vydání:	2020
Předmět:	Mathematics - Number Theory 11F80 11R23 (Primary) 11R33 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We begin a systematic investigation of universal norms for $p$-adic representations in higher rank Iwasawa theory. After establishing the basic properties of the module of higher rank universal norms we construct an Iwasawa-theoretic pairing that is relevant to this setting. This allows us, for example, to refine the classical Iwasawa Main Conjecture for cyclotomic fields, and also to give applications to various well-known conjectures in arithmetic concerning Iwasawa invariants and leading terms of $L$-functions. Comment: Manuscript revised according to referee report received
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.07454 Zobrazit plný text záznamu View this record from Arxiv