Meromorphic line bundles and holomorphic gerbes

Edoardo Ballico, Oren Ben-Bassat

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)1071-1084
Number of pages14
JournalMathematical Research Letters
Volume18
Issue number6
DOIs
StatePublished - Nov 2011

ASJC Scopus subject areas

  • Mathematics (all)

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