Tropical count of curves on abelian varieties

Lars Halvard Halle, Simon Rose · Communications in Number Theory and Physics · 2017

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 Göttsche, Bryan-Leung, and Lange-Sernesi in the complex setting.

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