Meromorphic Line Bundles and Holomorphic Gerbes

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.

14 pages

References in corpus (4)

• Generalized holomorphic bundles and the B-field action
• D-bar Spark Theory and Deligne Cohomology
• Gerbes and the Holomorphic Brauer Group of Complex Tori
• D-bar Sparks, I

Cited by in corpus (1)

• Equivariant Gerbes on Complex Tori