Boundaries of cycle spaces and degenerating Hodge structures

Tatsuki Hayama

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arXiv · 1203.6770

Boundaries of cycle spaces and degenerating Hodge structures

Tatsuki Hayama

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Abstract

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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Tatsuki Hayama. 2012-03-30. Boundaries of cycle spaces and degenerating Hodge structures. https://arxiv.org/abs/1203.6770

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