<p>We classify minimal surfaces <i>S</i> with <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="208_2025_3226_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="78" /> </InlineMediaObject> <EquationSource Format="TEX">\(p_g=q=2\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="208_2025_3226_Article_IEq4.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(K_S^2=5\)</EquationSource> </InlineEquation> or 6.</p>

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Cohomological rank functions and surfaces of general type with \(p_g=q=2\)

  • Jiabin Du,
  • Zhi Jiang,
  • Guoyun Zhang

摘要

We classify minimal surfaces S with \(p_g=q=2\) and \(K_S^2=5\) or 6.