Xiao's conjecture for canonically fibered surfaces of relative genus 5 is proved: nonhyperelliptic examples have rational base and geometric genus at most 50, and combining with the hyperelliptic case gives pg at most 52.
L'application canonique pour les surfaces de type g\' e n\' e ral
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Trigonal Canonically Fibered Surfaces
Xiao's conjecture for canonically fibered surfaces of relative genus 5 is proved: nonhyperelliptic examples have rational base and geometric genus at most 50, and combining with the hyperelliptic case gives pg at most 52.