Results 251 to 260 of about 7,590,271 (296)
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On the indivisibility of derived Kato’s Euler systems and the main conjecture for modular forms
Selecta Mathematica, 2017We provide a simple and efficient numerical criterion to verify the Iwasawa main conjecture and the indivisibility of derived Kato’s Euler systems for modular forms of weight two at any good prime under mild assumptions.
Chan-Ho Kim, Myoungil Kim, Hae-sang Sun
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Stark systems and equivariant main conjectures
Osaka Journal of Mathematics, 2022This is a further contribution to the theory of Stark systems with an application to equivariant main conjectures of elliptic curves. The main result is one divisibility of the main conjecture under certain hypotheses. This was already known by former work of the author [Math. Z. 298, No.
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Perrin-Riou’s main conjecture for elliptic curves at supersingular primes
Mathematische Annalen, 2016Let E/Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$E/\textbf{Q ...
Francesc Castella, X. Wan
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The Alon–Tarsi conjecture: A perspective on the main results
Discrete Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benjamin Friedman, Sean McGuinness
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Heegner Point Kolyvagin System and Iwasawa Main Conjecture
Acta Mathematica Sinica. English series, 2014We prove an anticyclotomic Iwasawa main conjecture proposed by Perrin-Riou for Heegner points for semi-stable elliptic curves E over a quadratic imaginary field K satisfying a certain generalized Heegner hypothesis, at an ordinary prime p .
X. Wan
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On the main conjecture on geometric MDS codes
IEEE Transactions on Information Theory, 1992Summary: A new way to attack the main conjecture on MDS codes for geometric codes is proposed. In particular, the conjecture for codes arising from curves of genus one or two when the cardinal of the ground field is large enough is proven.
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Anticyclotomic main conjectures
2006Let \(p>3\) be prime. Let \(F\) be a totally real number field, \(M/F\) a totally imaginary quadratic extension in which all prime ideals dividing \(p\) are unramified, \(\Sigma\) a \(p\)-ordinary CM type of \(M\), \(\overline{W}\) the completion of the ring of integers in an algebraic closure of \(\mathbb Q_p\), and \(\psi: \text{Gal}(\overline{F}/M ...
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On the equivariant main conjecture for imaginary quadratic fields
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011The 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, 2008The 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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The Iwasawa Main Conjecture for semistable abelian varieties over function fields
, 2014We prove the Iwasawa Main Conjecture over the arithmetic $${\mathbb {Z}}_p$$Zp-extension for semistable abelian varieties over function fields of characteristic $$p>0$$p>0.
K. Lai +3 more
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