Locally homogeneous complex manifolds
Acta Mathematica1969Vol. 123(0), pp. 253–302
Citations Over TimeTop 10% of 1969 papers
Abstract
In this paper we discuss some geometric and analytic properties of a class of locally homogeneous complex manifolds. Our original motivation came from algebraic geometry where certain non-compact, homogeneous complex manifolds arose naturally from the period matrices of general algebraic varieties in a similar fashion to the appearance of the Siegel upper-half-space from the periods of algebraic curves. However, these manifolds arc generally not Hermitian symmetric domains and, because of this, several interesting new phenomena turn up.
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