Scholarlink

<p>We prove Rubin’s conjecture on the structure of local units in the anticyclotomic <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11139_2024_1017_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {Z}}_p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">Z</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>-extension of an unramified quadratic extension of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11139_2024_1017_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {Q}}_p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">Q</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation> in <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11139_2024_1017_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(p=3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>=</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation> case by extending Burungale-Kobayashi-Ota’s work.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Rubin’s conjecture on local units in the anticyclotomic tower at inert primes: \(p=3\) case

  • 期刊论文

  • 发表日期：

    2025年1月31日

查看全文
  • Xiaojun Yan,
  • Xiuwu Zhu

摘要

We prove Rubin’s conjecture on the structure of local units in the anticyclotomic \({\mathbb {Z}}_p\) Z p -extension of an unramified quadratic extension of \({\mathbb {Q}}_p\) Q p in \(p=3\) p = 3 case by extending Burungale-Kobayashi-Ota’s work.