Toroidal degeneration of abelian varieties

DOI10.1007/BF01428801zbMath0405.14020MaRDI QIDQ1257057

Yukihiko Namikawa

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163314

zbMATH Keywords

Cohen-MacaulayPeriodAffine Torus EmbeddingAnalytic SpaceDegeneration DataDegeneration of Abelian VarietiesUnipotent Monodromy

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Algebraic moduli of abelian varieties, classification (14K10) Embeddings in algebraic geometry (14E25) Analytic subsets of affine space (32B15)

Related Items

A canonical bundle formula for certain algebraic fiber spaces and its applications, Torelli theorem for stable curves, On Mumford's construction of degenerating abelian varieties, Analytic Log Picard Varieties, Néron models and limits of Abel–Jacobi mappings, The principal degenerations of abelian surfaces and their polarisations, Families of abelian surfaces with real multiplication over Hilbert modular surfaces

Cites Work

• Toroidal embeddings. I
• Compactification of arithmetic quotients of bounded symmetric domains
• On compact analytic surfaces. II
• Algebraic Deformations of Polarized Varieties
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