Abstract
Given a real-analytic hypersurface invariant under a finite unitary group, we construct an invariant holomorphic mapping to a hyperquadric, and prove the basic properties of this mapping. When the hypersurface is the unit sphere, the groups are cyclic, and the quotient is a Lens space, we prove that the coefficients of this mapping must be square roots of integers. For the Lens spaces L(p, p - 1) we evaluate these integers by some combinatorial reasoning. We indicate how these calculations bear on a conjecture about the multiplicity of proper mappings between balls in different dimensions.
Original language | English (US) |
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Journal | Journal of Geometric Analysis |
Volume | 6 |
Issue number | 2 |
State | Published - 1996 |
Keywords
- Finite unitary groups
- Holomorphic mappings
- Lens spaces
- Several complex variables
ASJC Scopus subject areas
- Geometry and Topology