On canonical bases and internality criteria

zbMath1190.03033arXiv0705.4078MaRDI QIDQ733361

Anand Pillay, Rahim Moosa

Publication date: 15 October 2009

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

Full work available at URL: https://arxiv.org/abs/0705.4078

zbMATH Keywords

canonical base propertycompact complex-analytic spaceinternality

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Classification theory, stability, and related concepts in model theory (03C45) Applications of model theory (03C98)

Related Items

On the canonical base property ⋮ A (possibly new) structure without the canonical base property ⋮ Relative internality and definable fibrations ⋮ CM-trivial structures without the canonical base property ⋮ Model theory of compact complex manifolds with an automorphism ⋮ Some model theory of fibrations and algebraic reductions ⋮ CONSTRUCTING TYPES IN DIFFERENTIALLY CLOSED FIELDS THAT ARE ANALYSABLE IN THE CONSTANTS ⋮ Plus ultra ⋮ On definable Galois groups and the strong canonical base property ⋮ ADDITIVE COVERS AND THE CANONICAL BASE PROPERTY

Cites Work

• Coreduction algébrique d'un espace analytique faiblement Kählerien compact
• Algébricité et compacité dans l'espace des cycles d'un espace analytique complexe
• Closedness of the Douady spaces of compact Kähler spaces
• Jet spaces of varieties over differential and difference fields
• A note on existentially closed difference fields with algebraically closed fixed field
• On the douady space of a compact complex space in the category
• A nonstandard Riemann existence theorem
• Model-theoretic consequences of a theorem of Campana and Fujiki
• On saturation and the model theory of compact Kähler manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item