Results 11 to 20 of about 472 (41)

Estimating class numbers over metabelian extensions [PDF]

, 2017
Let $p$ be an odd prime and $L/K$ a $p$-adic Lie extension whose Galois group is of the form $\mathbb{Z}_p^{d-1}\rtimes \mathbb{Z}_p$. Under certain assumptions on the ramification of $p$ and the structure of an Iwasawa module associated to $L$, we study
Lei, Antonio
core   +1 more source

Characteristic ideals and Selmer groups [PDF]

, 2014
Let $A$ be an abelian variety defined over a global field $F$ of positive characteristic $p$ and let $\calf/F$ be a $\Z_p^{\N}$-extension, unramified outside a finite set of places of $F$. Assuming that all ramified places are totally ramified, we define
Bandini, Andrea, Bars, Francesc, Longhi, Ignazio   +2 more
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On the Euler characteristics of signed Selmer groups

, 2019
Let $p$ be an odd prime number, and $E$ an elliptic curve defined over a number field with good reduction at every prime of $F$ above $p$. In this short note, we compute the Euler characteristics of the signed Selmer groups of $E$ over the cyclotomic ...
Ahmed, Suman, Lim, Meng Fai
core   +1 more source

On the Z_p-ranks of tamely ramified Iwasawa modules

, 2013
For a prime number p, we denote by K the cyclotomic Z_p-extension of a number field k. For a finite set S of prime numbers, we consider the S-ramified Iwasawa module which is the Galois group of the maximal abelian pro-p-extension of K unramified outside
MANABU OZAKI, Ozaki M., Salle L., TSUYOSHI ITOH, YASUSHI MIZUSAWA   +4 more
core   +1 more source

Non-commutative p-adic L-functions for supersingular primes

, 2012
Let E/Q be an elliptic curve with good supersingular reduction at p with a_p(E)=0. We give a conjecture on the existence of analytic plus and minus p-adic L-functions of E over the Zp-cyclotomic extension of a finite Galois extension of Q where p is ...
ANTONIO LEI, Haran S., Serre J.-P.
core   +1 more source

On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form

, 2010
We derive a formula for Greenberg's $L$-invariant of Tate twists of the symmetric sixth power of an ordinary non-CM cuspidal newform of weight $\geq4$, under some technical assumptions.
Benois, Bloch, Citro, Deligne, Flach, Greenberg, Hida, Hida, Ramakrishnan, Robert Harron, Urban, Weston   +11 more
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On equivariant characteristic ideals of real classes

, 2013
Let $p$ be an odd prime, $F/{\Bbb Q}$ an abelian totally real number field, $F_\infty/F$ its cyclotomic ${\Bbb Z}_p$-extension, $G_\infty = Gal (F_\infty / {\Bbb Q}),$ ${\Bbb A} = {\Bbb Z}_p [[G_\infty]].$ We give an explicit description of the ...
A. Huber, A. Nickel, A. Nickel, B. Mazur, C. Greither, C. Weibel, D. Burns, D. Burns, J. Ritter, J. Ritter, M. Flach, M. Witte, P. Schneider, T. Beliaeva, V.P. Snaith   +14 more
core   +1 more source

Selmer groups for elliptic curves in Z_l^d-extensions of function fields of characteristic p

, 2009
Let $F$ be a function field of characteristic $p>0$, $\F/F$ a Galois extension with $Gal(\F/F)\simeq \Z_l^d$ (for some prime $l\neq p$) and $E/F$ a non-isotrivial elliptic curve. We study the behaviour of Selmer groups $Sel_E(L)_r$ ($r$ any prime) as $L$
Bandini, Andrea, Longhi, Ignazio
core   +2 more sources

On the equivariant main conjecture of Iwasawa theory

, 2005
Recently, D. Burns and C. Greither (Invent. Math., 2003) deduced an equivariant version of the main conjecture for abelian number fields. This was the key to their proof of the equivariant Tamagawa number conjecture. A. Huber and G. Kings (Duke Math. J.,
Abstract Refining, Cornelius Greither, David Burns, Guido Kings, Malte Witte, Respectively Annette Huber, We Formulate   +6 more
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Akashi series, characteristic elements and congruence of Galois representations

, 2015
In this paper, we compare the Akashi series of the Pontryagin dual of the Selmer groups of two Galois representations over a strongly admissible p-adic Lie extension.
Lim, Meng Fai
core   +1 more source