Tropical Count of Curves on Abelian Varieties

Published 12 Jun 2016 in math.AG | (1606.03707v1)

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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