On the invariants of base changes of pencils of curves. II

DOI10.1007/PL00004550zbMath0864.14016arXivalg-geom/9411003OpenAlexW2044809295MaRDI QIDQ2365041

Sheng-Li Tan

Publication date: 30 June 1997

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9411003

zbMATH Keywords

semistabilitypencil of curvesfinite base changeNoether equality

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli of curves (algebraic) (14H10)

Related Items (16)

Families of curves over \(\mathbb P^1\) with 3 singular fibers ⋮ Canonical class inequality for fibred spaces ⋮ Families of hyperelliptic curves with maximal slopes ⋮ Xiao's conjecture on canonically fibered surfaces ⋮ On the sharp lower bounds of modular invariants and fractional Dehn twist coefficients ⋮ On the gonality and the slope of a fibered surface ⋮ Upper bounds on the slope of certain fibered surfaces ⋮ Strict Arakelov‐type inequalities for a family of curves ⋮ Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds ⋮ Uniform bound for the effective Bogomolov conjecture ⋮ On Szpiro inequality for semistable families of curves ⋮ Numerical properties of isotrivial fibrations ⋮ On families of complex curves over \(\mathbb{P}^{1}\) with two singular fibers ⋮ A sharp bound for the slope of double cover fibrations ⋮ Slope inequalities for fibred surfaces via GIT ⋮ Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves

Cites Work

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• The maximal number of quotient singularities on surfaces with given numerical invariants
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• On the invariants of base changes of pencils of curves. I
• The irreducibility of the space of curves of a given genus
• ON THE LOWER BOUND OF THE SLOPE OF A NON-HYPERELLIPTIC FIBRATION OF GENUS 4
• The minimal number of singular fibers of a semistable curves over P^1
• ALGEBRAIC CURVES OVER FUNCTION FIELDS. I
• FAMILIES OF ALGEBRAIC CURVES WITH FIXED DEGENERACIES

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