Fibred surfaces with general pencils of genus 5

2008/04/02 by Elisa Tenni, Tenni, Elisa · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.0804.0388

13 pages

arxiv created 2008/04/02 · arxiv updated 2009/12/01

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_f²=χ_f+N where N is the number of trigonal fibres. Our proof is based on the analysis of the relative canonical algebra \calR(f).

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