Strict Arakelov‐type inequalities for a family of curves

DOI10.1002/mana.202300204OpenAlexW4387017620MaRDI QIDQ6193946

Wan-Yuan Xu

Publication date: 19 March 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202300204

zbMATH Keywords

family of curvessingular fiberthe Arakelov inequality

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10)

Cites Work

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• Arakelov's theorem for abelian varieties
• A characterization of certain Shimura curves in the moduli stack of abelian varieties
• On the invariants of base changes of pencils of curves. II
• Relative Noether inequality on fibered surfaces
• Arakelov inequalities and the uniformization of certain rigid Shimura varieties
• A new inequality on the Hodge number of algebraic surfaces
• Strict Arakelov inequality for a family of varieties of general type
• Numerical bounds for semi-stable families of curves or of certain higher-dimensional manifolds
• The minimal number of singular fibers of a semistable curves over P^1
• FAMILIES OF ALGEBRAIC CURVES WITH FIXED DEGENERACIES

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