Results 1 to 10 of about 114 (105)
THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS [PDF]
Forum of Mathematics, Sigma, 2015 Following the ideas and methods of a recent work of Skinner and Urban, we prove the one divisibility of the Iwasawa main conjecture for nearly ordinary Hilbert modular forms under certain local hypotheses.
XIN WAN
doaj +2 more sources
Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture [PDF]
American Journal of Mathematics, 2018 Let p be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian p-adic Lie extensions. Crucially, this result does not depend on the vanishing of the relevant Iwasawa mu-invariant.
Henri Johnston, Andreas Nickel
exaly +5 more sources
On the non-abelian Brumer–Stark conjecture and the equivariant Iwasawa main conjecture [PDF]
Mathematische Zeitschrift, 2018 33 pages; to appear in Mathematische Zeitschrift; v3 many minor updates including new title; v2 some cohomological arguments simplified; v1 is a revised version of the second half of arXiv:1408 ...
Henri Johnston, Andreas Nickel
exaly +5 more sources
Heegner Point Kolyvagin System and Iwasawa Main Conjecture [PDF]
Acta Mathematica Sinica, English Series, 2021 In this paper we prove an anticyclotomic Iwasawa main conjecture proposed by Perrin-Riou for Heegner points when the global sign is -1, using a recent work of the author on one divisibility of Iwasawa-Greenberg main conjecture for Rankin-Selberg p-adic L-functions.
exaly +3 more sources
The ?main conjectures? of iwasawa theory for imaginary quadratic fields
Inventiones Mathematicae, 1991 This paper proves one- and two-variable ``main conjectures'' over imaginary quadratic fields for both split and non-split primes, and obtains very precise information on the conjecture of Birch and Swinnerton-Dyer. Let \(K\) be an imaginary quadratic field, let \(p\) be a prime number not dividing the number of roots of unity in the Hilbert class field
Karl Rubin, Rubin Karl
exaly +2 more sources
On the main conjecture of Iwasawa theory for imaginary quadratic fields
Inventiones Mathematicae, 1988 Continuant à developper les idées de \textit{F. Thaine} [Ann. Math., II. Ser. 128, No.1, 1-18 (1988; Zbl 0665.12003)], l'auteur prouve ici deux résultats remarquables en direction de la conjecture principale de la théorié d'Iwasawa pour les extensions abéliennes F des corps quadratiques imaginaires: le premier, en une variable, concerne la composée ...
Karl Rubin, Rubin Karl
exaly +3 more sources
Iwasawa main conjecture for Rankin–Selberg p-adic L-functions [PDF]
Algebra and Number Theory, 2020 101 pages, to appear in Algebra and Number ...
exaly +4 more sources
An unconditional equivariant main conjecture in Iwasawa theory and applications
Research in Mathematical SciencesAbstract We prove a stronger version of the keystone result of Dasgupta and Kakde (Ann Math 197:289–388, 2023) on the $$\mathbb Z[G(H/F)]^-$$ Z
Cristian D Popescu
exaly +2 more sources
The vanishing of anticyclotomic $\mu $-invariants for non-ordinary modular forms
Comptes Rendus. Mathématique, 2023 Let $K$ be an imaginary quadratic field where $p$ splits. We study signed Selmer groups for non-ordinary modular forms over the anticyclotomic $\mathbb{Z}_p$-extension of $K$, showing that one inclusion of an Iwasawa main conjecture involving the $p ...
Hatley, Jeffrey, Lei, Antonio
doaj +1 more source
On the “main conjecture” of equivariant Iwasawa theory [PDF]
Journal of the American Mathematical Society, 2011 We prove the “main conjecture” of equivariant Iwasawa theory when μ =
Ritter, Jürgen, Weiss, Alfred
openaire +3 more sources