A 2-systolic inequality on non-rational compact Kähler surfaces with positive scalar curvature
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915852939427840 |
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| author | Sha, Zehao |
| author_facet | Sha, Zehao |
| contents | In this note, we prove a 2-systolic inequality on compact positive scalar curvature Kähler surfaces admitting a nonconstant holomorphic map to a positive-genus compact Riemann surface. According to the classification of positive scalar curvature Kähler surfaces, any such surface must be a ruled surface fibred over a complex curve with positive genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A 2-systolic inequality on non-rational compact Kähler surfaces with positive scalar curvature Sha, Zehao Differential Geometry In this note, we prove a 2-systolic inequality on compact positive scalar curvature Kähler surfaces admitting a nonconstant holomorphic map to a positive-genus compact Riemann surface. According to the classification of positive scalar curvature Kähler surfaces, any such surface must be a ruled surface fibred over a complex curve with positive genus. |
| title | A 2-systolic inequality on non-rational compact Kähler surfaces with positive scalar curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2510.13353 |