Coleman-Oort's conjecture for degenerate irreducible curves

DOI10.1007/s11856-011-0082-9zbMath1256.14044OpenAlexW2110679203WikidataQ123181929 ScholiaQ123181929MaRDI QIDQ1758980

Fabrizio Andreatta

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0082-9

zbMATH Keywords

abelian varietiesAndré-Oort conjecturetoroidal compactificationspecial subvarietiesColeman conjecture

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Period matrices, variation of Hodge structure; degenerations (32G20) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10) Modular and Shimura varieties (14G35)

Related Items (max. 100)

The Coleman–Oort conjecture: Reduction to three key cases ⋮ On totally geodesic submanifolds in the Jacobian locus

Cites Work

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• Equations defining the periods of totally degenerate curves
• Uniformization of Jacobian varieties and deformations of curves
• The Torelli locus and special subvarieties
• Compactifications of the Generalized Jacobian Variety

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