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arXiv · 1110.3167

On the boundary of moduli spaces of log Hodge structures, II: nontrivial torsors

Tatsuki Hayama
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Abstract

This is a continuous work of our previous paper. In the previous work we showed a triviality of the torsors in the case where period domains are Hermitian symmetric and a non-triviality for one-example. In this paper we determine whether the torsors are trivial or not for any period domains for pure Hodge structures. We also show a generalization of a previous result which gives a non-triviality on some open sets connecting to cycle spaces.

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Tatsuki Hayama. 2011-10-14. On the boundary of moduli spaces of log Hodge structures, II: nontrivial torsors. https://doi.org/10.1215/00277630-2394196

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