Trigonal Canonically Fibered Surfaces
Algebraic Geometry
2025-06-03 v1
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.
Cite
@article{arxiv.2506.01526,
title = {Trigonal Canonically Fibered Surfaces},
author = {Houari Benammar Ammar and Xi Chen and Nathan Grieve},
journal= {arXiv preprint arXiv:2506.01526},
year = {2025}
}
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48 pages