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<p>We exhibit a class of <i>extendable</i> codimension 2 subvarieties in a general hypersurface of dimension at least 4 in projective space. As a consequence, we prove that a general hypersurface of degree <i>d</i> and dimension at least 4 does not support globally generated indecomposable ACM bundles of any rank if their first Chern class <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(e \ll d\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>e</mi> <mo>≪</mo> <mi>d</mi> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Extendable codimension two subvarieties in a general hypersurface

  • 期刊论文

  • 发表日期：

    2025年11月13日

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  • G. V. Ravindra,
  • Debaditya Raychaudhury

摘要

We exhibit a class of extendable codimension 2 subvarieties in a general hypersurface of dimension at least 4 in projective space. As a consequence, we prove that a general hypersurface of degree d and dimension at least 4 does not support globally generated indecomposable ACM bundles of any rank if their first Chern class \(e \ll d\) e ≪ d .