On surfaces with a canonical pencil

DOI10.1007/s00209-010-0804-4zbMath1235.14034arXiv0909.0672OpenAlexW2093108411MaRDI QIDQ663260

Roberto Pignatelli

Publication date: 14 February 2012

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

Full work available at URL: https://arxiv.org/abs/0909.0672

zbMATH Keywords

surface of general typenumerical invariantscanonical mapcanonical pencilgenus 2 fibration

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Related Items (4)

Simple fibrations in -surfaces ⋮ Surfaces with \(c_1^2 =9\) and \(\chi =5\) whose canonical classes are divisible by 3 ⋮ The moduli space of even surfaces of general type with \({K^2=8}\), \({p_g=4}\) and \({q=0}\) ⋮ A complex surface of general type with 𝑝_{𝑔}=0, 𝐾²=2 and 𝐻₁=ℤ/4ℤ

Cites Work

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• On Kähler fiber spaces over curves
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• The sheaf of relative canonical forms of a Kähler fiber space over a curve
• Numerical inequalities for surfaces with canonical map composed with a pencil
• Surfaces of general type whose canonical map is composed of a pencil of genus 3 with small invariants
• On canonical fibrations of algebraic surfaces
• Fibrations of low genus, I

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