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Meromorphic Line Bundles and Holomorphic Gerbes
- Source :
- Math. Res. Lett. 18 (2011), 6, 1-14
- Publication Year :
- 2011
-
Abstract
- We show that any complex manifold that has a divisor whose normalization has non-zero first Betti number either has a non-trivial holomorphic gerbe which does not trivialize meromorphicly or 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.<br />Comment: 14 pages
- Subjects :
- Mathematics - Algebraic Geometry
53C08, 30D30, 14-XX
Subjects
Details
- Database :
- arXiv
- Journal :
- Math. Res. Lett. 18 (2011), 6, 1-14
- Publication Type :
- Report
- Accession number :
- edsarx.1101.2216
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.4310/MRL.2011.v18.n6.a3