Tropical Count of Curves on Abelian Varieties
Algebraic Geometry
2016-06-14 v1
Abstract
We investigate the problem of counting tropical genus g curves in g-dimensional tropical abelian varieties. For g = 2, 3, we prove that the tropical count matches the count provided by G\"ottsche, Bryan-Leung, and Lange-Sernesi in the complex setting.
Cite
@article{arxiv.1606.03707,
title = {Tropical Count of Curves on Abelian Varieties},
author = {Lars Halvard Halle and Simon Rose},
journal= {arXiv preprint arXiv:1606.03707},
year = {2016}
}
Comments
17 pages