Algébricité et compacité dans l'espace des cycles d'un espace analytique complexe

DOI10.1007/BF01420277zbMath0445.32021OpenAlexW2032823458MaRDI QIDQ1145262

Frédéric Campana

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/163420

zbMATH Keywords

algebraic analytic spacebimeromorphic mapping to GrassmannianMoisezon spacespace of cycles

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Holomorphic mappings and correspondences (32H99) Compact analytic spaces (32J99) Analytic subsets and submanifolds (32C25) Cycles and subschemes (14C99)

Related Items

Correnti positive: Uno strumento per l’analisi globale su varietà complesse ⋮ Orbifolds, special varieties and classification theory: appendix. ⋮ Ample thoughts ⋮ The Weil–Petersson current on Douady spaces ⋮ Model theory of fields with free operators in characteristic zero ⋮ Compactifications kähleriennes de voisinages ouverts de cycles géométriquement positifs ⋮ Complex analytic geometry and analytic-geometric categories ⋮ On the Cohomology of Pseudoeffective Line Bundles ⋮ On canonical bases and internality criteria ⋮ ON ODD-DIMENSIONAL COMPLEX ANALYTIC KLEINIAN GROUPS ⋮ Unnamed Item ⋮ The class \({\mathcal C}\) is not stable by small deformations ⋮ Meromorphic limits of automorphisms ⋮ ADDITIVE COVERS AND THE CANONICAL BASE PROPERTY

Cites Work

• Unnamed Item
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Closedness of the Douady spaces of compact Kähler spaces
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
• Flattening Theorem in Complex-Analytic Geometry