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Counting (tropical) curves via scattering.sage

2022/10/19 by Tim Graefnitz, Graefnitz, Tim
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2210.10455

openalex publication_date 2022/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note I will explain how relative/log Gromov-Witten invariants of pairs (X,D) with very ample smooth anticanonical divisor D can be computed using algebro-combinatorial objects called scattering diagrams. The underlying principle behind this computational method is a tropical correspondence theorem for non-toric cases, which I will explain briefly. By computing some examples I will give an introduction to a sage code that I wrote for computing scattering diagrams.

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