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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