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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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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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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
J Sadeghi   +2 more
exaly  

On the Iwasawa main conjecture for the double product

Transactions of the American Mathematical Society
Let σ \sigma and
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The Weak Gravity Conjecture and BPS Particles

Fortschritte Der Physik, 2021
Murad Alim   +2 more
exaly  

Normal Scalar Curvature Conjecture and its applications

Journal of Functional Analysis, 2011
Zhiqin Lu
exaly  

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