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<p>Let <i>C</i> be a complex irreducible plane curve that is not the vanishing locus of a modular polynomial. We show that <i>C</i> contains finitely many real algebraic curves whose projection on each coordinate axis is a union of special geodesics.</p>

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Special geodesics and atypical intersections

  • 期刊论文

  • 发表日期：

    2026年6月18日

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  • Matteo Tamiozzo

摘要

Let C be a complex irreducible plane curve that is not the vanishing locus of a modular polynomial. We show that C contains finitely many real algebraic curves whose projection on each coordinate axis is a union of special geodesics.