A note on holomorphic families of Abelian varieties

DOI10.1090/proc/15779zbMath1479.32006OpenAlexW4205312710MaRDI QIDQ5027188

Mu-Lin Li

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15779

zbMATH Keywords

complex toriholomorphic deformation

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Families, moduli, classification: algebraic theory (14J10) Compact analytic spaces (32J99) Minimal model program (Mori theory, extremal rays) (14E30) Homogeneous complex manifolds (32M10) Deformations of complex structures (32G05) Formal methods and deformations in algebraic geometry (14D15)

Cites Work

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• Coreduction algébrique d'un espace analytique faiblement Kählerien compact
• Several complex variables VII. Sheaf-theoretical methods in complex analysis
• Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation
• Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation
• Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics
• Deformation in the large of some complex manifolds. I.
• Conditions for the analyticity of certain sets
• Deformation rigidity of the rational homogeneous space associated to a long simple root
• Smooth families of tori and linear Kähler groups

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