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arXiv · 2401.08487

Relative Gromov-Witten and maximal contact conics

Giosuè Muratore
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Abstract

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 $Y$. In particular, we compute the contribution, from double covers of inflectional lines, to a certain degree $2$ relative Gromov--Witten invariant relative to $Y$.

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Giosuè Muratore. 2024-01-16. Relative Gromov-Witten and maximal contact conics. https://doi.org/10.1007/s00013-025-02169-z

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