学術雑誌論文

学術雑誌論文

text

Tohoku Mathematical Journal. 1995, 47(3), p. 405-429

Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures

Usui, Sampei

Mathematical Institute of Tohoku University

英語

text

1995

Usui, Sampei. Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures. Tohoku Math. J. (2) 47 (1995), no. 3, 405--429.

We construct partial compactifications of arithmetic quotients of the classifying spaces of polarized Hodge structures of general weight by adding the restrictions of the 'tamest' nilpotent orbits to the invariant cycles, and introduce complex structures on them. We prove holomorphic extendability of period maps from a punctured disc whose monodromy logarithm satisfies a certain property. We also examine some geometric examples which can be settled within the present framework.

73396

Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures

Usui, Sampei

Mathematical Institute of Tohoku University

英語

1995

Tohoku Mathematical Journal

47

3

405

429

https://hdl.handle.net/11094/73396