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

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

2011-10-14

arxiv.org/abs/1110.3167v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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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