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<p>We discuss some properties of the relative Gromov–Witten invariants counting rational curves with maximal contact order at one point. We compute the number of Cayley’s sextactic conics to any smooth plane curve. In particular, we compute the contribution, from double covers of inflectional lines, to a certain degree two relative Gromov–Witten invariant relative to the curve.</p>

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Relative Gromov–Witten and maximal contact conics

  • 期刊论文

  • 发表日期：

    2025年8月16日

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  • Giosuè Muratore

摘要

We discuss some properties of the relative Gromov–Witten invariants counting rational curves with maximal contact order at one point. We compute the number of Cayley’s sextactic conics to any smooth plane curve. In particular, we compute the contribution, from double covers of inflectional lines, to a certain degree two relative Gromov–Witten invariant relative to the curve.