SOME RESULTS ON LOCALLY HOMOGENEOUS COMPLEX MANIFOLDS | Zendy

Phillip Griffiths | Zendy

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SOME RESULTS ON LOCALLY HOMOGENEOUS COMPLEX MANIFOLDS

Author(s) -

Phillip Griffiths

Publication year - 1966

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.56.2.413

Subject(s) - anger , happiness , salient , homogeneous , psychology , cognitive psychology , social psychology , computer science , artificial intelligence , mathematics , combinatorics

In a previous issue of these PROCEEDINGS,' while discussing the periods of integrals on algebraic manifolds, we have indicated a construction of the space of all period matrices associated to a polarized algebraic variety. These period matrix varieties seem to lead to an interesting class of analytic spaces, and we shall outline here our results and additionally give some questions which have arisen. 1. Construction of the Period Matrix Varieties.-Let X be a polarized algebraic manifold and denote by HorJ-qq the space of primitive cohomology classes of type (r q,q) on X. By the Hodge decomposition:

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