English

Upper bounds for logarithmic Gromov-Witten invariants of projective space

Algebraic Geometry 2026-02-18 v1

Abstract

We provide an upper bound for the genus zero logarithmic Gromov-Witten invariants of projective space relative to its toric boundary. The upper bound is polynomial in the contact orders, with degree depending on the number of marked points. The result hinges on the positivity of intersections for projective spaces.

Keywords

Cite

@article{arxiv.2602.15685,
  title  = {Upper bounds for logarithmic Gromov-Witten invariants of projective space},
  author = {Dan Simms},
  journal= {arXiv preprint arXiv:2602.15685},
  year   = {2026}
}

Comments

13 pages. Comments welcome