Strictly nef vector bundles and characterizations of ℙn
In this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surrounding the geometry of projective manifolds with strictly nef bundles.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-03-01
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| Series: | Complex Manifolds |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/coma-2020-0109 |
| _version_ | 1797987679884804096 |
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| author | Liu Jie Ou Wenhao Yang Xiaokui |
| author_facet | Liu Jie Ou Wenhao Yang Xiaokui |
| author_sort | Liu Jie |
| collection | DOAJ |
| description | In this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surrounding the geometry of projective manifolds with strictly nef bundles. |
| first_indexed | 2024-04-11T07:52:06Z |
| format | Article |
| id | doaj.art-e222c850c07e4df4977099cf923d4301 |
| institution | Directory Open Access Journal |
| issn | 2300-7443 |
| language | English |
| last_indexed | 2024-04-11T07:52:06Z |
| publishDate | 2021-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Complex Manifolds |
| spelling | doaj.art-e222c850c07e4df4977099cf923d43012022-12-22T04:36:03ZengDe GruyterComplex Manifolds2300-74432021-03-018114815910.1515/coma-2020-0109Strictly nef vector bundles and characterizations of ℙnLiu Jie0Ou Wenhao1Yang Xiaokui2Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, ChinaInstitute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, ChinaDepartment of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, ChinaIn this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surrounding the geometry of projective manifolds with strictly nef bundles.https://doi.org/10.1515/coma-2020-0109strictly nefamplehyperbolicity14h3014j4014j6032q57 |
| spellingShingle | Liu Jie Ou Wenhao Yang Xiaokui Strictly nef vector bundles and characterizations of ℙn Complex Manifolds strictly nef ample hyperbolicity 14h30 14j40 14j60 32q57 |
| title | Strictly nef vector bundles and characterizations of ℙn |
| title_full | Strictly nef vector bundles and characterizations of ℙn |
| title_fullStr | Strictly nef vector bundles and characterizations of ℙn |
| title_full_unstemmed | Strictly nef vector bundles and characterizations of ℙn |
| title_short | Strictly nef vector bundles and characterizations of ℙn |
| title_sort | strictly nef vector bundles and characterizations of pn |
| topic | strictly nef ample hyperbolicity 14h30 14j40 14j60 32q57 |
| url | https://doi.org/10.1515/coma-2020-0109 |
| work_keys_str_mv | AT liujie strictlynefvectorbundlesandcharacterizationsofpn AT ouwenhao strictlynefvectorbundlesandcharacterizationsofpn AT yangxiaokui strictlynefvectorbundlesandcharacterizationsofpn |