On the boundary of moduli spaces of log Hodge structures, II: nontrivial torsors
arXiv:1110.3167 · doi:10.1215/00277630-2394196
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.
14 pages