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arXiv · 0804.0388

Fibred surfaces with general pencils of genus 5

Elisa Tenni
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Abstract

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 $K_f^2=χ_f+N$ 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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Elisa Tenni. 2008-04-02. Fibred surfaces with general pencils of genus 5. https://arxiv.org/abs/0804.0388

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