Tropical Count of Curves on Abelian Varieties
classification
🧮 math.AG
keywords
tropicalcountabeliancurvesvarietiesbryan-leungcomplexcounting
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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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