Remark on semi-positive holomorphic sectional curvature and quasi-negative $k$-Ricci curvature
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916059846541312 |
|---|---|
| author | Zhang, Shiyu |
| author_facet | Zhang, Shiyu |
| contents | We record two remarks. First, for a compact Kähler manifold with semi-positive holomorphic sectional curvature, the rational dimension of the MRC fibration is exactly the number of non-truly-flat directions. Second, for compact Kähler manifolds with quasi-negative $k$-Ricci curvature, $1<k<n$, or more generally with quasi-negative mixed curvature $C_{a,b}$ for $a,b>0$, the canonical bundle is ample. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remark on semi-positive holomorphic sectional curvature and quasi-negative $k$-Ricci curvature Zhang, Shiyu Differential Geometry We record two remarks. First, for a compact Kähler manifold with semi-positive holomorphic sectional curvature, the rational dimension of the MRC fibration is exactly the number of non-truly-flat directions. Second, for compact Kähler manifolds with quasi-negative $k$-Ricci curvature, $1<k<n$, or more generally with quasi-negative mixed curvature $C_{a,b}$ for $a,b>0$, the canonical bundle is ample. |
| title | Remark on semi-positive holomorphic sectional curvature and quasi-negative $k$-Ricci curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2508.17237 |