A note on the ideal class group of the cyclotomic ℤₚ-extension of a totally real number field
A pure arithmetical definition of the class group
A quadratic field of prime discriminant requiring three generators for its class group, and related theory
Abelian p-class field towers over the cyclotomic ℤₚ-extensions of imaginary quadratic fields
Algebraic function fields with equal class number
Algorithmes numériques relatifs aux corps cubiques cycliques
An analogue of class-number in higher dimensions.
An annihilator for the -Selmer group by means of Heegner points
Let be a modular elliptic curve, and let be an imaginary quadratic field. We show that the -Selmer group of over certain finite anticyclotomic extensions of , modulo the universal norms, is annihilated by the «characteristic ideal» of the universal norms modulo the Heegner points. We also extend this result to the anticyclotomic -extension of . This refines in the current contest a result of [1].
An asymptotic formula relating the Siegel zero and the class number of quadratic fields
An effective order of Hecke-Landau zeta functions near the line σ = 1. I
An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves.
An explicit bound for Iwasawa's λ-invariant
An idelic approach to the wild kernel.
Analogues étales de la -tour des corps de classes
Nous construisons un analogue «tordu» de la -tour de corps de classes d’un corps de nombres ( un nombre premier) et étudions ses liens avec la théorie d’Iwasawa. Le résultat principal donne un critère du type Golod et Shafarevich pour que la tour «tordue» soit infinie.
Analogues supérieurs du noyau sauvage
Analytic Class Number Formulas in Function Fields.
Another proof of Iwasawa's class number formula
Anticyclotomic Iwasawa theory of CM elliptic curves
We study the Iwasawa theory of a CM elliptic curve in the anticyclotomic -extension of the CM field, where is a prime of good, ordinary reduction for . When the complex -function of vanishes to even order, Rubin’s proof of the two variable main conjecture of Iwasawa theory implies that the Pontryagin dual of the -power Selmer group over the anticyclotomic extension is a torsion Iwasawa module. When the order of vanishing is odd, work of Greenberg show that it is not a torsion module. In...
Anti-cyclotomic Katz -adic -functions and congruence modules
Anticyclotomic main conjectures.