On the direct image of the adjoint big and nef line bundles
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914660968562688 |
|---|---|
| author | Watanabe, Yuta Zou, Yongpan |
| author_facet | Watanabe, Yuta Zou, Yongpan |
| contents | We investigate the positivity properties of the direct image $f_{\ast}(K_{X/Y} \otimes L)$ of the adjoint line bundle associated with a big and nef line bundle $L$, under a smooth fibration $f: X\to Y$ between projective varieties. We show that the vector bundle $f_{\ast}(K_{X/Y} \otimes L)$ is big. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17684 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the direct image of the adjoint big and nef line bundles Watanabe, Yuta Zou, Yongpan Algebraic Geometry Complex Variables We investigate the positivity properties of the direct image $f_{\ast}(K_{X/Y} \otimes L)$ of the adjoint line bundle associated with a big and nef line bundle $L$, under a smooth fibration $f: X\to Y$ between projective varieties. We show that the vector bundle $f_{\ast}(K_{X/Y} \otimes L)$ is big. |
| title | On the direct image of the adjoint big and nef line bundles |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2401.17684 |