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Abstract <p> We prove some sufficient conditions for the rationality of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathbb{Q}\)</EquationSource> </InlineEquation>-Fano threefolds of Fano index <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\ge}\,3\)</EquationSource> </InlineEquation>. This significantly strengthens previous results of the author. </p>

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On the Birational Geometry of \(\mathbb Q\)-Fano Threefolds of Large Fano Index. II

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Yuri Prokhorov

摘要

Abstract

We prove some sufficient conditions for the rationality of \(\mathbb{Q}\) -Fano threefolds of Fano index \({\ge}\,3\) . This significantly strengthens previous results of the author.