Results 231 to 240 of about 28,289 (266)

Reductions of the Main Conjecture

2012
The main goal of this article is to discuss the relevant background needed to state the noncommutative main conjecture for certain totally real p-adic Lie extensions, and to make the important reduction to the case when the Galois group of the p-adic Lie extension is of dimension one and pro-p.
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On the equivariant main conjecture for imaginary quadratic fields

Journal für die reine und angewandte Mathematik (Crelles Journal), 2011
The Main Conjecture(s) of Iwasawa theory are an essential tool for studying the arithmetical properties of special values of \(L\)-functions attached to motives. In this paper, the authors treat the \(MC\) for an imaginary quadratic field \(K\) both in the character-wise and the equivariant (i.e., taking into account the Galois action of an abelian ...
Johnson-Leung, Jennifer, Kings, Guido
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On the Main Conjecture for CM Fields

American Journal of Mathematics, 2008
The aim of this work is to prove a divisibility relation toward the main conjecture for CM fields. Our main tool is the study of congruences between an Eisenstein series and cusp forms on the unitary group GU(2,1). We introduce an Eisenstein ideal in the nearly-ordinary universal Hecke algebra for GU(2,1) and show that it divides the characteristic ...
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Torsions and the Iwasawa Main Conjecture

2012
In this chapter we take up the Iwasawa main conjecture which asserts that the Iwasawa polynomial coincides essentially with the Kubota–Leopoldt p-adic analytic zeta function. According to the analogy between the Iwasawa polynomial and the Alexander polynomial in Chap.
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On main conjectures in non-commutative Iwasawa theory and related conjectures

Journal für die reine und angewandte Mathematik (Crelles Journal), 2013
Abstract The main conjecture of non-commutative Iwasawa theory is shown to be equivalent, modulo an appropriate torsion hypothesis, to a family of main conjectures over cyclotomic ℤ p -extensions together with suitable compatibility relations between the associated abelian p-adic L-functions.
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A Relation Between the 2-Primary Parts of the Main Conjecture and the Birch-Tate-Conjecture

Canadian Mathematical Bulletin, 1989
AbstractIt is shown that for totally real number fields the Main Conjecture in Iwasawa-Theory for p = 2 proposed by Fédérer implies the 2-primary part of the Birch-Tate-Conjecture in analogy with the case p odd.
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Kato’s main conjecture for potentially ordinary primes

Glasgow Mathematical Journal
AbstractIn this paper, we prove Kato’s main conjecture for $CM$ modular forms for primes of potentially ordinary reduction under certain hypotheses on the modular form.
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Notes on further refining de Sitter swampland conjecture with inflationary models

Chinese Journal of Physics, 2022
Mohammad Reza Alipour, Jafar Sadeghi, S Noori Gashti   +2 more
exaly  

The main conjecture for MDS codes

1995
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The Main Conjecture

Giordano Cotti, Boris A. Dubrovin, Davide Guzzetti   +2 more
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