On families of complex curves over \(\mathbb{P}^{1}\) with two singular fibers

zbMath1332.14018MaRDI QIDQ5964051

Jun Lu, Cheng Gong, Sheng-Li Tan

Publication date: 26 February 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1455892627

zbMATH Keywords

monodromycurvesfibrationsChern numbersprojective surfaces

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

A counterexample to Gurjar–Zhang’s conjectures, On the sharp lower bounds of modular invariants and fractional Dehn twist coefficients, Unnamed Item, Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds, An inequality on the Hodge number h1,1 of a fibration and the Mordell-Weil rank, Hitchin fibrations on two-dimensional moduli spaces of irregular Higgs bundles with one singular fiber, Extremal trigonal fibrations on rational surfaces, On the Mordell–Weil rank of a surface fibration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudo-periodic maps and degeneration of Riemann surfaces
• Chern numbers of a singular fiber, modular invariants and isotrivial families of curves
• On the stable reduction of pencils of curves
• On the invariants of base changes of pencils of curves. I
• On upper bounds of virtual Mordell-Weil ranks
• Monodromies of hyperelliptic families of genus three curves
• On complex surfaces with 5 or 6 semistable singular fibers over 1
• Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem.
• Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
• Local signature defect of fibered complex surfaces via monodromy and stable reduction
• On the invariants of base changes of pencils of curves. II
• Presentation of hyperelliptic periodic monodromies and splitting families
• On pencils of curves of genus two
• The complete classification of fibres in pencils of curves of genus two
• A new inequality on the Hodge number of algebraic surfaces
• Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves
• LOCAL SIGNATURE OF FIBERED COMPLEX SURFACES VIA MODULI AND MONODROMY
• Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces
• Classification of the periodic monodromies of hyperelliptic families
• The minimal number of singular fibers of a semistable curves over P^1
• Local splitting families of hyperelliptic pencils. I