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<p>A relevant property of spanned vector bundles of rank <i>N</i> on a normal projective variety of dimension <i>N</i> having top Chern class 1 is presented and several examples are discussed. Moreover, such vector bundles with ample determinant are classified for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13_2025_2154_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(N=2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>=</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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On a special class of rank two vector bundles on projective surfaces

  • 期刊论文

  • 发表日期：

    2025年8月4日

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  • Antonio Lanteri,
  • Andrew J. Sommese

摘要

A relevant property of spanned vector bundles of rank N on a normal projective variety of dimension N having top Chern class 1 is presented and several examples are discussed. Moreover, such vector bundles with ample determinant are classified for \(N=2\) N = 2 .