English

Counting (tropical) curves via scattering.sage

Algebraic Geometry 2022-10-20 v1

Abstract

In this note I will explain how relative/log Gromov-Witten invariants of pairs (X,D)(X,D) with very ample smooth anticanonical divisor DD 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.

Keywords

Cite

@article{arxiv.2210.10455,
  title  = {Counting (tropical) curves via scattering.sage},
  author = {Tim Graefnitz},
  journal= {arXiv preprint arXiv:2210.10455},
  year   = {2022}
}

Comments

16 pages This note will appear in the proceedings of the Online Nottingham algebraic geometry seminar