A remark on a conjecture of Tan

DOI10.1007/s00605-023-01841-2OpenAlexW4327814374WikidataQ123360677 ScholiaQ123360677MaRDI QIDQ6076267

Huiting Zhang, Wan-Yuan Xu, Gui-Min Li

Publication date: 23 October 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-023-01841-2

zbMATH Keywords

irregularityfibrationsingular fiberseparable node

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Singularities of curves, local rings (14H20)

Cites Work

• Note on families of semistable curves over \(\mathbb P^{1}\) with 4 singular fibers whose Jacobian are non-compact
• Irregularity of surfaces with a linear pencil
• Singular fibers and Kodaira dimensions
• On complex surfaces with 5 or 6 semistable singular fibers over 1
• On fibrations approaching the Arakelov equality
• Surfaces of Kodaira dimension zero with six semistable singular fibers over \({\mathbb{P}^{1}}\)
• Semistable fibrations over \(\mathbb {P}^1\) with five singular fibers
• On the slope of hyperelliptic fibrations with positive relative irregularity
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• The minimal number of singular fibers of a semistable curves over P^1
• Some Remarks on the Wiman–Edge Pencil
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