Coherent states, line bundles and divisors

Details Coherent states, line bundles and divisors Coherent states, line bundles and divisors

1998-07-14

arxiv.org/abs/math/9807073v1

Mathematics

Differential Geometry

8 pages, latex2e, ams fonts, to appear in "Coherent States, Differential and Quantum Geometry", Edited by S. T. Ali, M. Schlic

Scientific paper

10.1016/S0034-4877(99)80012-3

For homogeneous simply connected Hodge manifolds it is proved that the set of
coherent vectors orthogonal to a given one is the divisor responsible for the
homogeneous holomorphic line bundle of the coherent vectors. In particular, for
naturally reductive spaces, the divisor is the cut locus.

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