Faltings heights of hyperelliptic curves over function fields

DOI10.1007/s10114-023-1690-0zbMath1527.14062MaRDI QIDQ6145658

Xiao-Lei Liu

Publication date: 9 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

modular invariantsfamilies of curvesFaltings heights

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

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• Families of hyperelliptic curves with maximal slopes
• Modular invariants and singularity indices of hyperelliptic fibrations
• Chern numbers of a singular fiber, modular invariants and isotrivial families of curves
• On the stable reduction of pencils of curves
• Curves with prescribed intersection with boundary divisors in moduli spaces of curves
• On the sharp lower bounds of modular invariants and fractional Dehn twist coefficients

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