Results 1 to 10 of about 14,098 (157)
Modular symbols in Iwasawa theory [PDF]
, 2014 This survey paper is focused on a connection between the geometry of $\mathrm{GL}_d$ and the arithmetic of $\mathrm{GL}_{d-1}$ over global fields, for integers $d \ge 2$.
A. Ash +26 more
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Exterior powers in Iwasawa theory
Journal of the European Mathematical Society, 2021 The Iwasawa theory of CM fields has traditionally concerned Iwasawa modules that are abelian pro-p Galois groups with ramification allowed at a maximal set of primes over p such that the module is torsion.
Bleher, F. +5 more
core +3 more sources
, 2018 Aquest treball és una introducció a la teoria clàssica d'Iwasawa. La primera part del treball està dedicada a demostrar un teorema d'estructura pels mòduls sobre l'anell de sèries de potències amb coeficients enters p-àdics i a demostrar el teorema de ...
Torrent i Soler, Pol
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Schneider-Teitelbaum duality for locally profinite groups [PDF]
Categories and General Algebraic Structures with Applications, 2021 We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
doaj +1 more source
Toward equivariant Iwasawa theory, III [PDF]
Mathematische Annalen, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ritter, Jürgen, Weiss, Alfred
openaire +6 more sources
Iwasawa theory for Artin representations I [PDF]
Advanced Studies in Pure Mathematics, 2021 This article is the first of a pair of articles dealing with the Iwasawa theory of modular forms of weight 1 and, more generally, of Artin representations satisfying certain conditions. The main results in this part analyze the structure of certain Selmer groups for the Artin representation.
Greenberg, Ralph, Vatsal, Vinayak
openaire +3 more sources
Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
Axioms, 2021 This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century.
Karl H. Hofmann, Sidney A. Morris
doaj +1 more source
Arithmetic statistics and noncommutative Iwasawa theory
Documenta Mathematica, 2022 Let p be an odd prime. Associated to a pair (E, \mathcal{F}_\infty) consisting of a rational elliptic curve E
Debanjana Kundu, Anwesh Ray, Antonio Lei
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Residual supersingular Iwasawa theory and signed Iwasawa invariants
Rendiconti del Seminario Matematico della Università di Padova, 2023 For an odd prime p and a supersingular elliptic curve over a number field, this article introduces a multi-signed residual Selmer group, under certain hypotheses on the base field. This group depends purely on the residual representation at
Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio +1 more
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CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
Forum of Mathematics, Sigma, 2019 A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa main conjecture, they prove a relationship between analytic objects (a ...
ANTONIO LEI, BHARATHWAJ PALVANNAN
doaj +1 more source