Stable maps to Looijenga pairs built from the plane
Michel van Garrel

TL;DR
This paper surveys methods for counting rational curves on certain log Calabi-Yau surfaces derived from the plane, focusing on their intersection properties with divisors.
Contribution
It provides a systematic approach to counting rational curves on Looijenga pairs constructed from the projective plane.
Findings
Develops a counting technique for rational curves with maximal tangency
Applies the method to four specific log Calabi-Yau surfaces
Offers insights into the geometry of Looijenga pairs
Abstract
Choosing a normal crossings anticanonical divisor of leads to four log Calabi-Yau surfaces, three of which are Looijenga pairs. In this survey article, I describe how to count rational curves in these that intersect each component of the divisor in one point of maximal tangency.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals
