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<p>We show that, for universal elliptic curve <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="MediaObjects/40879_2025_846_IEq5_HTML.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="120" Type="Linedraw" Width="16" /> </InlineMediaObject> </InlineEquation>, the group of <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40879_2025_846_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(p^n\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>p</mi> <mi>n</mi> </msup> </math></EquationSource> </InlineEquation>-torsions <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="MediaObjects/40879_2025_846_IEq7_HTML.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="120" Type="Linedraw" Width="45" /> </InlineMediaObject> </InlineEquation> does not extend over the infinity place of the <i>j</i>-line, although this is the case for its étale (resp. local) part.</p>

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Inextensibility of the group of \(p^n\)-torsions of universal elliptic curve at infinity of the j-line

  • 期刊论文

  • 发表日期：

    2025年8月5日

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  • Esmail Arasteh Rad

摘要

We show that, for universal elliptic curve , the group of \(p^n\) p n -torsions does not extend over the infinity place of the j-line, although this is the case for its étale (resp. local) part.