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Meromorphic Line Bundles and Holomorphic Gerbes

Authors :
Ballico, Edoardo
Ben-Bassat, Oren
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

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