On the boundary of the moduli spaces of log Hodge structures: triviality of the torsor

Details On the boundary of the moduli spaces of log Hodge structures: triviality of the torsor On the boundary of the moduli spaces of log Hodge structures: triviality of the torsor

2008-06-30

arxiv.org/abs/0806.4965v3

Nagoya Math. J. Volume 198 (2010), 173-190

Mathematics

Algebraic Geometry

11 pages

Scientific paper

In this paper we will study the moduli spaces of log Hodge structures introduced by Kato-Usui. This moduli space is a partial compactification of a discrete quotient of a period domain. We treat the following 2 cases: (A) the case where the period domain is Hermitian symmetric, (B) the case where the Hodge structures are of the mirror quintic type. Especially we study a property of the torsor.

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