Meromorphic line bundles and holomorphic gerbes
We will consider the relationship of the topology of (normalizations of) divisors inside complex manifolds with holomorphic gerbes and meromorphic line bundles on these manifolds. If the normalization of the divisor has non-zero first Betti number then the manifold has either (1) a non-trivial holom...
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| Format: | Journal article |
| Language: | English |
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2011
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| _version_ | 1797102238478368768 |
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| author | Ballico, E Ben-Bassat, O |
| author_facet | Ballico, E Ben-Bassat, O |
| author_sort | Ballico, E |
| collection | OXFORD |
| description | We will consider the relationship of the topology of (normalizations of) divisors inside complex manifolds with holomorphic gerbes and meromorphic line bundles on these manifolds. If the normalization of the divisor has non-zero first Betti number then the manifold has either (1) a non-trivial holomorphic gerbe which does not trivialize meromorphically or (2) a meromorphic line bundle not equivalent to any holomorphic line bundle. Similarly, higher Betti numbers of divisors correspond to higher gerbes or meromorphic gerbes. We give several new examples. © International Press 2012. |
| first_indexed | 2024-03-07T06:03:08Z |
| format | Journal article |
| id | oxford-uuid:ece9af73-ad18-4699-81ed-11967047d0cb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:03:08Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:ece9af73-ad18-4699-81ed-11967047d0cb2022-03-27T11:20:58ZMeromorphic line bundles and holomorphic gerbesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ece9af73-ad18-4699-81ed-11967047d0cbEnglishSymplectic Elements at Oxford2011Ballico, EBen-Bassat, OWe will consider the relationship of the topology of (normalizations of) divisors inside complex manifolds with holomorphic gerbes and meromorphic line bundles on these manifolds. If the normalization of the divisor has non-zero first Betti number then the manifold has either (1) a non-trivial holomorphic gerbe which does not trivialize meromorphically or (2) a meromorphic line bundle not equivalent to any holomorphic line bundle. Similarly, higher Betti numbers of divisors correspond to higher gerbes or meromorphic gerbes. We give several new examples. © International Press 2012. |
| spellingShingle | Ballico, E Ben-Bassat, O Meromorphic line bundles and holomorphic gerbes |
| title | Meromorphic line bundles and holomorphic gerbes |
| title_full | Meromorphic line bundles and holomorphic gerbes |
| title_fullStr | Meromorphic line bundles and holomorphic gerbes |
| title_full_unstemmed | Meromorphic line bundles and holomorphic gerbes |
| title_short | Meromorphic line bundles and holomorphic gerbes |
| title_sort | meromorphic line bundles and holomorphic gerbes |
| work_keys_str_mv | AT ballicoe meromorphiclinebundlesandholomorphicgerbes AT benbassato meromorphiclinebundlesandholomorphicgerbes |