14 citations · 24 across the 10 of their papers we have counts for
8 papers · 1 filter
Cycle connectivity and pseudoconcavity of flag domains
Tatsuki Hayama
We prove that a non-classical flag domain is pseudoconcave if it satisfies a certain condition on the root system. Moreover, we prove that every point in a one-codimensional real b…
Degenerating Hodge structure of one-parameter family of Calabi-Yau threefolds
Tatsuki Hayama, Atsushi Kanazawa
To a one-parameter family of Calabi-Yau threefolds, we can associate the extended period map by the log Hodge theory of Kato and Usui. In the present paper, we study the image of a…
Asymptotics of degenerations of mixed Hodge structures
Tatsuki Hayama, Gregory Pearlstein
We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures and prove analogs of the strong distance estimate between an admissible period…
Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces
Tatsuki Hayama
We construct fans which give Kato-Usui partial compactifications of period domains of weight -1. Similarly to the fans of toroidal compactifications, these fans are given by polyhe…
Boundaries of cycle spaces and degenerating Hodge structures
Tatsuki Hayama
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…
On the boundary of moduli spaces of log Hodge structures, II: nontrivial torsors
Tatsuki Hayama
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-trivi…
Neron models of Green-Griffiths-Kerr and log Neron models
Tatsuki Hayama
For a variation of Hodge structure over a punctured disk, Green, Griffiths and Kerr introduced a Néron model which is a Hausdorff space that includes values of admissible normal fu…
On the boundary of the moduli spaces of log Hodge structures: triviality of the torsor
Tatsuki Hayama
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 do…