<p>Let <i>X</i> be a ruled surface over a nonsingular curve <i>C</i> of genus <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10231_2024_1541_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="42" /> </InlineMediaObject> <EquationSource Format="TEX">\(g\ge 0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>g</mi> <mo>≥</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>. The main goal of this paper is to construct simple prioritary vector bundles of any rank <i>r</i> on <i>X</i> and to give effective bounds for the dimension of their module of global sections.</p>

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Higher rank prioritary bundles on ruled surfaces and their global sections

  • L. Costa,
  • I. Macías Tarrío

摘要

Let X be a ruled surface over a nonsingular curve C of genus \(g\ge 0\) g 0 . The main goal of this paper is to construct simple prioritary vector bundles of any rank r on X and to give effective bounds for the dimension of their module of global sections.