Results 21 to 30 of about 14,098 (157)

The (S,{2})-Iwasawa theory

, 2013
Iwasawa made the fundamental discovery that there is a close connection between the ideal class groups of $\mathbb{Z}_{p}$-extensions of cyclotomic fields and the $p$-adic analogue of Riemann's zeta functions $$ (s)=\sum_{n=1}^{\infty}\frac{1}{n^{s}}.$$ In this paper, we show that there may also exist a parallel Iwasawa's theory corresponding to the ...
Hu, Su, Kim, Min-Soo
openaire   +3 more sources

Kida's formula and congruences [PDF]

, 2005
We prove a formula (analogous to that of Kida in classical Iwasawa theory and generalizing that of Hachimori-Matsuno for elliptic curves) giving the analytic and algebraic p-adic Iwasawa invariants of a modular eigenform over an abelian p-extension of Q ...
Pollack, Robert, Weston, Tom
core   +3 more sources

Iwasawa theory and the Eisenstein ideal

, 2007
In this paper, we relate three objects. The first is a particular value of a cup product in the cohomology of the Galois group of the maximal unramified outside p extension of a cyclotomic field containing the pth roots of unity. The second is an Iwasawa
Sharifi, Romyar T.
core   +1 more source

Certifying Anosov representations

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley   +1 more source

From homogeneous metric spaces to Lie groups

Comptes Rendus. Mathématique
We study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to ...
Cowling, Michael G., Kivioja, Ville, Le Donne, Enrico, Nicolussi Golo, Sebastiano, Ottazzi, Alessandro   +4 more
doaj   +1 more source

Computations in non-commutative Iwasawa theory

, 2005
We study special values of L-functions of elliptic curves over Q twisted by Artin representations that factor through a false Tate curve extension $Q(\mu_p^\infty,\sqrt[p^\infty]{m})/Q$.
Balister, Bosma, Bouganis, Bourbaki, Breuil, Coates, Coates, Cohen, Cremona, Deligne, Deligne, Dokchitser, Dokchitser, Dokchitser, Dokchitser, Fisher, Fisher, Greenberg, Greenberg, Howson, Howson, Howson, J. Coates, Kato, Kato, Lavrik, Manin, Matsuno, Matsuno, Mazur, Perrin-Riou, R. Sujatha, Schneider, Serre, Serre, Serre, Silverman, Silverman, Sujatha, Swan, Swan, T. Dokchitser, Tate, Tate, Tate, Tate, Tollis, V. Dokchitser, Vatsal, Venjakob, Venjakob, Venjakob, Wadsley, Washington, Wiles, Wiles   +55 more
core   +1 more source

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

On the Selmer groups of abelian varieties over function fields of characteristic p>0

, 2007
In this paper, we study a (p-adic) geometric analogue for abelian varieties over a function field of characteristic p of the cyclotomic Iwasawa theory and the non-commutative Iwasawa theory for abelian varieties over a number field initiated by Mazur and
FABIEN TRIHAN, Kato, Manin, Milne, Milne, TADASHI OCHIAI   +5 more
core   +1 more source

Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley   +1 more source

Iwasawa theory for the anticyclotomic extension [PDF]

Pacific Journal of Mathematics, 1985
Let \(E\) be an elliptic curve over \(\mathbb Q\) with complex multiplication by the ring of integers of a quadratic imaginary field \(K\), and let \(p\) be a prime, different from 2 and 3, which splits in \(K\). The author determines the \(\Lambda\)-module structure of the local units modulo elliptic units for the anticyclotomic \(\mathbb Z_p ...
openaire   +2 more sources