Numerical classification of singular fibers in genus 3 pencils

DOI10.1215/kjm/1250517826zbMath0978.14006OpenAlexW1486284673MaRDI QIDQ1570032

Kazuhiro Uematsu

Publication date: 20 September 2000

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250517826

zbMATH Keywords

elliptic surfacescurves of genus threenumerical classificationsingular fibers of pencils of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Special algebraic curves and curves of low genus (14H45) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Fibrations, degenerations in algebraic geometry (14D06) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Pencils, nets, webs in algebraic geometry (14C21)

Related Items (3)

The specialization index of a variety over a discretely valued field ⋮ Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves ⋮ Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem.

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