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<p>The aim of this note is to exhibit proper first Brill-Noether loci inside the moduli spaces <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13_2025_2129_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="102" /> </InlineMediaObject> <EquationSource Format="TEX">\(M_{Y,H}(2;c_1,c_2)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>M</mi> <mrow> <mi>Y</mi> <mo>,</mo> <mi>H</mi> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mn>2</mn> <mo>;</mo> <msub> <mi>c</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>c</mi> <mn>2</mn> </msub> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> of <i>H</i>-stable rank 2 vector bundles with fixed Chern classes of a certain type on an Enriques surface <i>Y</i> which is covered by a Jacobian Kummer surface <i>X</i>.</p>

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Brill-Noether loci on an Enriques surface covered by a Jacobian Kummer surface

  • 期刊论文

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  • 发表日期：

    2025年4月29日

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  • I. Macías Tarrío,
  • C. Spiridon,
  • A. Stoenicǎ

摘要

The aim of this note is to exhibit proper first Brill-Noether loci inside the moduli spaces \(M_{Y,H}(2;c_1,c_2)\) M Y , H ( 2 ; c 1 , c 2 ) of H-stable rank 2 vector bundles with fixed Chern classes of a certain type on an Enriques surface Y which is covered by a Jacobian Kummer surface X.