解释\（\mathrm的理论{GL}_2\times\mathrm{Res}_｛K/\mathbb｛Q｝\mathrm{GL}_1（电话铃声）

IF 0.5 Q3 MATHEMATICS

Annales Mathematiques du Quebec Pub Date : 2022-06-06 DOI:10.1007/s40316-022-00197-7

Kâzim Büyükboduk, Antonio Lei

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引用次数: 1

摘要

设K是素数p分裂的虚二次域。本文的目的是证明与\（\mathrm）相关的p-近平凡族的Iwasawa主要猜想的结果{GL}_2\times\mathrm{Res}_｛K/\mathbb｛Q｝｝\mathrm{GL}_1\)用一组最小的假设。主要的技术投入是对局部受限欧拉系统机制的改进，该机制允许处理剩余可约情况，我们将其应用于Beilinson–Flach欧拉系统。

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Iwasawa theory for \(\mathrm {GL}_2\times \mathrm {Res}_{K/\mathbb {Q}}\mathrm {GL}_1\)

Let K be an imaginary quadratic field where the prime p splits. Our goal in this article is to prove results towards the Iwasawa main conjectures for p-nearly-ordinary families associated to \(\mathrm {GL}_2\times \mathrm {Res}_{K/\mathbb {Q}}\mathrm {GL}_1\) with a minimal set of assumptions. The main technical input is an improvement on the locally restricted Euler system machinery that allows the treatment of residually reducible cases, which we apply with the Beilinson–Flach Euler system.

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来源期刊

Annales Mathematiques du Quebec MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： The goal of the Annales mathématiques du Québec (formerly: Annales des sciences mathématiques du Québec) is to be a high level journal publishing articles in all areas of pure mathematics, and sometimes in related fields such as applied mathematics, mathematical physics and computer science. Papers written in French or English may be submitted to one of the editors, and each published paper will appear with a short abstract in both languages. History: The journal was founded in 1977 as „Annales des sciences mathématiques du Québec”, in 2013 it became a Springer journal under the name of “Annales mathématiques du Québec”. From 1977 to 2018, the editors-in-chief have respectively been S. Dubuc, R. Cléroux, G. Labelle, I. Assem, C. Levesque, D. Jakobson, O. Cornea. Les Annales mathématiques du Québec (anciennement, les Annales des sciences mathématiques du Québec) se veulent un journal de haut calibre publiant des travaux dans toutes les sphères des mathématiques pures, et parfois dans des domaines connexes tels les mathématiques appliquées, la physique mathématique et l''informatique. On peut soumettre ses articles en français ou en anglais à l''éditeur de son choix, et les articles acceptés seront publiés avec un résumé court dans les deux langues. Histoire: La revue québécoise “Annales des sciences mathématiques du Québec” était fondée en 1977 et est devenue en 2013 une revue de Springer sous le nom Annales mathématiques du Québec. De 1977 à 2018, les éditeurs en chef ont respectivement été S. Dubuc, R. Cléroux, G. Labelle, I. Assem, C. Levesque, D. Jakobson, O. Cornea.