Locally homogeneous complex manifolds

@article{Griffiths1969LocallyHC,
  title={Locally homogeneous complex manifolds},
  author={Phillip A. Griffiths and Wilfried Schmid},
  journal={Acta Mathematica},
  year={1969},
  volume={123},
  pages={253-302}
}
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 natural ly 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 Hermit ian symmetric domains and, because of… Expand
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