Trigonal Canonically Fibered Surfaces
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912409448349696 |
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| author | Ammar, Houari Benammar Chen, Xi Grieve, Nathan |
| author_facet | Ammar, Houari Benammar Chen, Xi Grieve, Nathan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01526 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trigonal Canonically Fibered Surfaces Ammar, Houari Benammar Chen, Xi Grieve, Nathan Algebraic Geometry 14J29, 14E05, 14H45 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. |
| title | Trigonal Canonically Fibered Surfaces |
| topic | Algebraic Geometry 14J29, 14E05, 14H45 |
| url | https://arxiv.org/abs/2506.01526 |