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arXiv · 1606.03707

Tropical Count of Curves on Abelian Varieties

Lars Halvard Halle·Simon Rose
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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.

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Lars Halvard Halle, Simon Rose. 2016-06-12. Tropical Count of Curves on Abelian Varieties. https://arxiv.org/abs/1606.03707

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