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arXiv · 2210.10455

Counting (tropical) curves via scattering.sage

Tim Graefnitz
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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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Tim Graefnitz. 2022-10-19. Counting (tropical) curves via scattering.sage. https://arxiv.org/abs/2210.10455

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