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Abstract <p> We prove that the variety of flexes of algebraic curves of degree <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(3\)</EquationSource> </InlineEquation> in the projective plane is an ideal-theoretic complete intersection in the product of a two-dimensional and a nine-dimensional projective spaces. </p>

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Ideal of the Variety of Flexes of Plane Cubics

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • V. L. Popov

摘要

Abstract

We prove that the variety of flexes of algebraic curves of degree \(3\) in the projective plane is an ideal-theoretic complete intersection in the product of a two-dimensional and a nine-dimensional projective spaces.