Non-communtative Iwasawa main conjecture

DOI10.1142/S1793042120501067zbMath1461.11149arXiv1710.09113OpenAlexW3025823785WikidataQ123353812 ScholiaQ123353812MaRDI QIDQ4970766

Malte Witte

Publication date: 7 October 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.09113

zbMATH Keywords

function fields\(L\)-functionsnon-commutative Iwasawa theoryIwasawa modulesWaldhausen categoriesSelmer complexes

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Cites Work

• Unit \(L\)-functions for étale sheaves of modules over noncommutative rings
• Duality via cycle complexes
• The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field
• Fourier transformat, constants of the functional equations and Weil conjecture
• Continuous étale cohomology
• Finitistic dimensions of Noetherian rings
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Euler characteristic and Akashi series for Selmer groups over global function fields
• Zur Vermutung von Birch und Swinnerton-Dyer über globalen Funktionenkoerpern
• Abelian varieties over fields of finite characteristic
• Iwasawa main conjecture for the Carlitz cyclotomic extension and applications
• Non-commutative \(L\)-functions for \(p\)-adic representations over totally real fields
• Abelian varieties without homotheties
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• On the non commutative Iwasawa main conjecture for abelian varieties over function fields
• On a noncommutative Iwasawa main conjecture for varieties over finite fields
• Toward equivariant Iwasawa theory. II.
• Pseudocompact algebras, profinite groups and class formations
• Théorie de Hodge. III
• On semi-simple automorphisms of Lie algebras
• Control theorems for $\ell$-adic Lie extensions of global function fields
• Pairings and functional equations over the GL₂ -extension^†
• On descent theory and main conjectures in non-commutative Iwasawa theory
• The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields
• The Galois Module Structure of ℓ-adic Realizations of Picard 1-motives and Applications
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• K ₀ and the dimension filtration for p -torsion Iwasawa modules
• Higher algebraic K-theory: I
• On Geometric Iwasawa Theory and Special Values of Zeta Functions
• Noncommutative Main Conjectures of Geometric Iwasawa Theory
• On a Localisation Sequence for the K-Theory of Skew Power Series Rings
• Characteristic elements for 𝑝-torsion Iwasawa modules
• On Euler characteristics of Selmer groups for abelian varieties over global function fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Non-communtative Iwasawa main conjecture