paper

Relative Gromov-Witten and maximal contact conics

arXiv:2401.08487 · doi:10.1007/s00013-025-02169-z

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

11 pages

Relative Gromov-Witten and maximal contact conics · wovepaper