Uniform bound for the effective Bogomolov conjecture

DOI10.1016/j.crma.2017.01.003zbMath1366.14023OpenAlexW2576488342WikidataQ122955060 ScholiaQ122955060MaRDI QIDQ514397

Sheng-Li Tan, Xiao-Lei Liu

Publication date: 1 March 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.01.003

zbMATH Keywords

Néron-Tate heightDeligne-Mumford stratificationsemi-stable curve

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Local ground fields in algebraic geometry (14G20) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (2)

On the sharp lower bounds of modular invariants and fractional Dehn twist coefficients ⋮ Fractional Dehn twists and modular invariants

Cites Work

• Pseudo-periodic maps and degeneration of Riemann surfaces
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• Zhang's conjecture and the effective Bogomolov conjecture over function fields
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• The Geometric Bogomolov Conjecture for Curves of Small Genus
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• Relative Bogomolov’s inequality and the cone of positive divisors on the moduli space of stable curves
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