Invariant divisors and equivariant line bundles

Abstract

Scalar relative invariants play an important role in the theory of group actions on a manifold as their zero sets are invariant hypersurfaces. Relative invariants are central in many applications, where they often are treated locally since an invariant hypersurface may not be a locus of a single function. Our aim is to establish a global theory of relative invariants.

Keywords

• 53A55
• 58D19
• 22F05
• 32M05
• 14C20
• 17B56
• 32L10