We define the obstruction class of a complex super line bundle over a supermanifold and show that non-trivial bundles may have vanishing obstruction class. We express the relationship between the Picard group of a supernalytic DeWitt supermanifold and the Picard group of its body.

Some topics in the theory of super line bundles

BARTOCCI, CLAUDIO
1989-01-01

Abstract

We define the obstruction class of a complex super line bundle over a supermanifold and show that non-trivial bundles may have vanishing obstruction class. We express the relationship between the Picard group of a supernalytic DeWitt supermanifold and the Picard group of its body.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/371916
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