Fibred surfaces with general pencils of genus 5

Details Fibred surfaces with general pencils of genus 5 Fibred surfaces with general pencils of genus 5

2008-04-02

arxiv.org/abs/0804.0388v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

Let $f:S \fr B$ be a surface fibration with fibres of genus 5. We find a
linear relation between the fundamental invariants of the surface. Namely
$K_f^2=\chi_f+N$ where $N$ is the number of trigonal fibres. Our proof is based
on the analysis of the relative canonical algebra $\cal{R}(f)$.

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