Results 1 to 10 of about 302 (159)
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 +8 more sources
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 +4 more sources
Numerical Evidence Toward a 2-adic Equivariant “Main Conjecture” [PDF]
Experimental Mathematics, 2011 Recently Ritter and Weiss introduced an equivariant "main conjecture" than generalizes and refines the Main Conjecture of Iwasawa theory. In this paper, we show that, for the prime 2 and a dihedral extension of order 8 over Q, this conjecture is equivalent to a congruence condition on the coefficients of a power series with 2-adic integral coefficients
Roblot, Xavier-François, Weiss, Alfred
core +7 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.
Johnston, HLA, Nickel, Andreas
core +6 more sources
Forum of Mathematics, Sigma, 2021 We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj +1 more source
On the equivariant and the non-equivariant main conjecture for imaginary quadratic fields
, 2008 The Iwasawa main conjecture fields has been an important tool to study the arithmetic of special values of $L$-functions of Hecke characters of imaginary quadratic fields. To obtain the finest possible invariants it is important to know the main conjecture for all prime numbers $p$ and also to have an equivariant version at disposal.
Johnson-Leung, Jennifer, Kings, Guido
+6 more sources
The second syzygy of the trivial $G$-module, and an equivariant main conjecture
Advanced Studies in Pure Mathematics, 2021 For a finite abelian $p$-extension $K/k$ of totally real fields and the cyclotomic $\mathbb{Z}_{p}$-extension $K_{\infty}/K$, we prove a strong version of an equivariant Iwasawa main conjecture by determining completely the Fitting ideal over $\mathbb{Z}_{p}[[\mathop{\rm Gal}\nolimits(K_{\infty}/k)]]$ of the classical Iwasawa module $X_{K_{\infty},S}$,
Greither, Cornelius +2 more
openaire +2 more sources
An Equivariant Main Conjecture in Iwasawa theory and applications
Journal of Algebraic Geometry, 2015 We construct a new class of Iwasawa modules, which are the number field analogues of the p p -adic realizations of the ...
Greither, Cornelius +1 more
openaire +3 more sources
On the equivariant main conjecture of Iwasawa theory [PDF]
Acta Arithmetica, 2006 24 pages, minor changes, final version, to appear in Acta ...
openaire +2 more sources
Virasoro Constraints for Toric Bundles
Forum of Mathematics, PiWe show that the Virasoro conjecture in Gromov–Witten theory holds for the the total space of a toric bundle $E \to B$ if and only if it holds for the base B. The main steps are: (i) We establish a localization formula that expresses Gromov–Witten
Tom Coates +2 more
doaj +1 more source