Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves

DOI10.1090/S0002-9947-2012-05625-XzbMath1276.14014arXiv1003.1767OpenAlexW2143822333MaRDI QIDQ2846968

Jun Lu, Sheng-Li Tan

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1767

zbMATH Keywords

classificationChern numbermodular invariantsingular fibreisotrivial

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Pencils, nets, webs in algebraic geometry (14C21)

Related Items (6)

Families of curves over \(\mathbb P^1\) with 3 singular fibers ⋮ \({\mathbb C}^{\ast}\)-equivariant degenerations of curves and normal surface singularities with \({\mathbb C}^{\ast}\)-action ⋮ Families of hyperelliptic curves with maximal slopes ⋮ Unnamed Item ⋮ Uniform bound for the effective Bogomolov conjecture ⋮ On families of complex curves over \(\mathbb{P}^{1}\) with two singular fibers

Cites Work

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• Inégalités numériques pour les surfaces de type général. Appendice : «L'inégalité $p_g \ge 2q-4$ pour les surfaces de type général» par A. Beauville
• ON THE SLOPES OF THE MODULI SPACES OF CURVES
• The minimal number of singular fibers of a semistable curves over P^1
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• Numerical properties of isotrivial fibrations

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