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arXiv · 1101.2216

Meromorphic Line Bundles and Holomorphic Gerbes

Edoardo Ballico·Oren Ben-Bassat
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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.

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Edoardo Ballico, Oren Ben-Bassat. 2011-01-11. Meromorphic Line Bundles and Holomorphic Gerbes. https://doi.org/10.4310/mrl.2011.v18.n6.a3

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