On the minimal number of singular fibers with non-compact Jacobians for families of curves over \(\mathbb{P}^1\)

DOI10.1016/j.matpur.2015.11.011zbMath1368.14018arXiv1409.6593OpenAlexW48951581MaRDI QIDQ267068

Kang Zuo, Xin Lu, Wan-Yuan Xu, Sheng-Li Tan

Publication date: 7 April 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6593

zbMATH Keywords

family of curvesnon-compact Jacobiansingular fiber

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Special surfaces (14J25)

Related Items (5)

On the Arakelov inequality in positive characteristic ⋮ Singular fibers and Kodaira dimensions ⋮ Number of singular fibres of surface fibrations over \(\mathbb{P} 1\) ⋮ On the Mordell–Weil rank of a surface fibration ⋮ On fibrations approaching the Arakelov equality

Cites Work

• Families of curves over \(\mathbb P^1\) with 3 singular fibers
• Note on families of semistable curves over \(\mathbb P^{1}\) with 4 singular fibers whose Jacobian are non-compact
• The maximal number of quotient singularities on surfaces with given numerical invariants
• A characterization of certain Shimura curves in the moduli stack of abelian varieties
• On complex surfaces with 5 or 6 semistable singular fibers over 1
• A new inequality on the Hodge number of algebraic surfaces
• ON SOME PROBLEMS IN ABSTRACT ALGEBRAIC GEOMETRY
• BETTI AND PICARD NUMBERS OF ABSTRACT ALGEBRAIC SURFACES
• On Shimura curves in the Schottky locus
• Relative Bogomolov’s inequality and the cone of positive divisors on the moduli space of stable curves
• The minimal number of singular fibers of a semistable curves over P^1
• Algebraic surfaces. Transl. from the Romanian by V. Maşek
• Geometric height inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the minimal number of singular fibers with non-compact Jacobians for families of curves over \(\mathbb{P}^1\)