$ω$-trace and Griffiths positivity for singular Hermitian metrics
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929240476221440 |
|---|---|
| author | Watanabe, Yuta |
| author_facet | Watanabe, Yuta |
| contents | In this paper, we investigate various positivity for singular Hermitian metrics such as Griffiths, $ω$-trace and RC, where $ω$ is a Hermitian metric, and show that these quasi-positivity notions induce $0$-th cohomology vanishing, rational conected-ness, etc. Here, $ω$-trace positivity of smooth Hermitian metrics $h$ on holomorphic vector bundles $E$ represents the positivity of $tr_ωiΘ_{E,h}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06658 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $ω$-trace and Griffiths positivity for singular Hermitian metrics Watanabe, Yuta Differential Geometry Complex Variables 32L10, 32L20, 32Q10, 32U05 In this paper, we investigate various positivity for singular Hermitian metrics such as Griffiths, $ω$-trace and RC, where $ω$ is a Hermitian metric, and show that these quasi-positivity notions induce $0$-th cohomology vanishing, rational conected-ness, etc. Here, $ω$-trace positivity of smooth Hermitian metrics $h$ on holomorphic vector bundles $E$ represents the positivity of $tr_ωiΘ_{E,h}$. |
| title | $ω$-trace and Griffiths positivity for singular Hermitian metrics |
| topic | Differential Geometry Complex Variables 32L10, 32L20, 32Q10, 32U05 |
| url | https://arxiv.org/abs/2402.06658 |