English

Relative Gromov-Witten and maximal contact conics

Algebraic Geometry 2025-10-16 v2

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 YY. In particular, we compute the contribution, from double covers of inflectional lines, to a certain degree 22 relative Gromov--Witten invariant relative to YY.

Keywords

Cite

@article{arxiv.2401.08487,
  title  = {Relative Gromov-Witten and maximal contact conics},
  author = {Giosuè Muratore},
  journal= {arXiv preprint arXiv:2401.08487},
  year   = {2025}
}

Comments

11 pages