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arXiv · 2506.01526

Trigonal Canonically Fibered Surfaces

Houari Benammar Ammar·Xi Chen·Nathan Grieve
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Abstract

We fix some gaps of a proof of Xiao's conjecture on canonically fibered surfaces of relative genus 5 by the second author. Our argument simplifies the original proof and gives a much better bound on the geometric genus of the surface. Also we apply the same argument to canonically fibered surfaces of relative genus 3 and 4 to obtain some Noether-type inequalities for these surfaces.

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Houari Benammar Ammar, Xi Chen, Nathan Grieve. 2025-06-02. Trigonal Canonically Fibered Surfaces. https://arxiv.org/abs/2506.01526

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