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Asymptotic Counting of Singular Fibers of Genus gg

Qiyang Kong, Xiao-Lei Liu, Jiayao Wang

Source record

Source: arXiv

Published: Sep 14, 2026

arXiv: 2609.15149

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Source abstract

Motivated by the effective form of Shafarevich's conjecture, we prove that the number of classes of singular fibers of genus gg has the exact asymptotic order gΘ(g)g^{Θ(g)}.

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