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

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概要

• 論文の詳細を見る

• 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.

• 東北大学の論文

著者

• Usui Sampei

  Department Of Mathematics College Of General Education Osaka University

• Usui Sampei

  Department of Mathematics, Graduate School of Science, Osaka University

関連論文

• Period maps and their extensions(Algebraic Geometry and Hodge Theory)
• EXAMPLE OF SEMI-STABLE DEGENERATIONS OF KUNEV SURFACES
• Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures

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