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<p>Using the decomposition of Jacobians with group action, we prove the non-existence of some Shimura subvarieties in the moduli space of ppav <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13_2025_2123_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(A_{g}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>A</mi> <mi>g</mi> </msub> </math></EquationSource> </InlineEquation> arising from families of dihedral and quaternionic covers of the complex projective line <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13_2025_2123_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\mathbb {P}}}^1\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">P</mi> </mrow> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation>.</p>

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Decomposition of Jacobians and Shimura subvarieties of \(A_g\)

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月7日

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  • Abolfazl Mohajer

摘要

Using the decomposition of Jacobians with group action, we prove the non-existence of some Shimura subvarieties in the moduli space of ppav \(A_{g}\) A g arising from families of dihedral and quaternionic covers of the complex projective line \({{\mathbb {P}}}^1\) P 1 .