A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds
In this note, We show that over a compact Hermitian manifold $(X, \omega )$ whose metric satisfies $\partial \bar{\partial }\omega ^{n - 1} = \partial \bar{\partial }\omega ^{n - 2} = 0$, every pseudo-effective vector bundle with vanishing first Chern number is in fact a numerically flat vector bund...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.182/ |
| _version_ | 1797651544991072256 |
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| author | Chen, Yong |
| author_facet | Chen, Yong |
| author_sort | Chen, Yong |
| collection | DOAJ |
| description | In this note, We show that over a compact Hermitian manifold $(X, \omega )$ whose metric satisfies $\partial \bar{\partial }\omega ^{n - 1} = \partial \bar{\partial }\omega ^{n - 2} = 0$, every pseudo-effective vector bundle with vanishing first Chern number is in fact a numerically flat vector bundle. |
| first_indexed | 2024-03-11T16:17:21Z |
| format | Article |
| id | doaj.art-7a79df22b483446ba357f22b323b9030 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:21Z |
| publishDate | 2021-07-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-7a79df22b483446ba357f22b323b90302023-10-24T14:18:44ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692021-07-01359552353110.5802/crmath.18210.5802/crmath.182A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifoldsChen, Yong0School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, P.R. China.In this note, We show that over a compact Hermitian manifold $(X, \omega )$ whose metric satisfies $\partial \bar{\partial }\omega ^{n - 1} = \partial \bar{\partial }\omega ^{n - 2} = 0$, every pseudo-effective vector bundle with vanishing first Chern number is in fact a numerically flat vector bundle.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.182/ |
| spellingShingle | Chen, Yong A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds Comptes Rendus. Mathématique |
| title | A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds |
| title_full | A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds |
| title_fullStr | A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds |
| title_full_unstemmed | A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds |
| title_short | A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds |
| title_sort | note on pseudo effective vector bundles with vanishing first chern number over non kahler manifolds |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.182/ |
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