A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds
A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of X is trivial. We prove the same statement when...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Association Epiga
2018-09-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/4209/pdf |
| _version_ | 1811238211849027584 |
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| author | Indranil Biswas Vamsi Pritham Pingali |
| author_facet | Indranil Biswas Vamsi Pritham Pingali |
| author_sort | Indranil Biswas |
| collection | DOAJ |
| description | A vector bundle E on a projective variety X is called finite if it satisfies
a nontrivial polynomial equation with integral coefficients. A theorem of Nori
implies that E is finite if and only if the pullback of E to some finite etale
Galois covering of X is trivial. We prove the same statement when X is a
compact complex manifold admitting a Gauduchon astheno-Kahler metric. |
| first_indexed | 2024-04-12T12:37:54Z |
| format | Article |
| id | doaj.art-dcb37114ad7e406884d42b2fb0a08d3e |
| institution | Directory Open Access Journal |
| issn | 2491-6765 |
| language | English |
| last_indexed | 2024-04-12T12:37:54Z |
| publishDate | 2018-09-01 |
| publisher | Association Epiga |
| record_format | Article |
| series | Épijournal de Géométrie Algébrique |
| spelling | doaj.art-dcb37114ad7e406884d42b2fb0a08d3e2022-12-22T03:32:51ZengAssociation EpigaÉpijournal de Géométrie Algébrique2491-67652018-09-01Volume 210.46298/epiga.2018.volume2.42094209A characterization of finite vector bundles on Gauduchon astheno-Kahler manifoldsIndranil BiswasVamsi Pritham PingaliA vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of X is trivial. We prove the same statement when X is a compact complex manifold admitting a Gauduchon astheno-Kahler metric.https://epiga.episciences.org/4209/pdfmathematics - algebraic geometrymathematics - differential geometry32l10, 53c55, 14d21 |
| spellingShingle | Indranil Biswas Vamsi Pritham Pingali A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds Épijournal de Géométrie Algébrique mathematics - algebraic geometry mathematics - differential geometry 32l10, 53c55, 14d21 |
| title | A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds |
| title_full | A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds |
| title_fullStr | A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds |
| title_full_unstemmed | A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds |
| title_short | A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds |
| title_sort | characterization of finite vector bundles on gauduchon astheno kahler manifolds |
| topic | mathematics - algebraic geometry mathematics - differential geometry 32l10, 53c55, 14d21 |
| url | https://epiga.episciences.org/4209/pdf |
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