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Abstract <p> We investigate birational properties of hypersurfaces of degree <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(6\)</EquationSource> </InlineEquation> in the weighted projective space <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb{P}(1,1,2,2,3)\)</EquationSource> </InlineEquation>. In particular, we prove that any such quasi-smooth hypersurface is not rational. </p>

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On the Birational Geometry of Sextic Threefold Hypersurfaces in \(\mathbb{P}(1,1,2,2,3)\)

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月1日

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  • Yuri Prokhorov

摘要

Abstract

We investigate birational properties of hypersurfaces of degree \(6\) in the weighted projective space \(\mathbb{P}(1,1,2,2,3)\) . In particular, we prove that any such quasi-smooth hypersurface is not rational.