Boundaries of cycle spaces and degenerating Hodge structures

Details Boundaries of cycle spaces and degenerating Hodge structures Boundaries of cycle spaces and degenerating Hodge structures

2012-03-30

arxiv.org/abs/1203.6770v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We study a property of cycle spaces in connection with degenerating Hodge structures of odd-weight, and construct maps from some partial compactifications of period domains to the Satake compatifications of Siegel spaces. These maps are a generalization of the maps from the toroidal compactifications of Siegel spaces to the Satake compactifications. We also show the continuity of these maps for the case of Calabi-Yau threefolds with h^{2,1}=1.

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