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<p>Using structural properties of groups of small order, we establish the non-existence of varieties isogenous to a higher product of dimension <i>n</i> greater than 3 with fixed topological Euler number <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10711_2025_1044_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\((-2)^n\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mo stretchy="false">(</mo> <mo>-</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> <mi>n</mi> </msup> </math></EquationSource> </InlineEquation> and trivial first Betti number.</p>

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Varieties isogenous to a higher product with prescribed numerical invariants

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月4日

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  • Amir Džambić,
  • Anitha Thillaisundaram

摘要

Using structural properties of groups of small order, we establish the non-existence of varieties isogenous to a higher product of dimension n greater than 3 with fixed topological Euler number \((-2)^n\) ( - 2 ) n and trivial first Betti number.