Work

Asymptotic Counting of Singular Fibers of Genus $g$

Year: 2026

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.15149

Authors: Kong, Qiyang, Liu, Xiao-Lei, Wang, Jiayao

Institutions: Jilin Engineering Normal University, Dalian University of Technology

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G3414394961

OpenAlex ID: W7213263487

Cites: 2

Cited by:

Related to: 10