Formale Geometrie und homogene Räume

DOI10.1007/BF01393937zbMath0459.14010OpenAlexW2031397181MaRDI QIDQ1151942

Gerd Faltings

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142817

zbMATH Keywords

Lie-algebrasmall codimensionhomogeneous complex manifoldalgebraization of formal meromorphic functionsBorel-Weil-theoremfiniteness- theoremssingular cohomologies

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Compact analytic spaces (32J99) de Rham cohomology and algebraic geometry (14F40) Lie algebras of linear algebraic groups (17B45) Low codimension problems in algebraic geometry (14M07) Local deformation theory, Artin approximation, etc. (14B12)

Related Items

Cyclic coverings: Deformation and Torelli theorem, Connectivity and a Problem of Formal Geometry, On set-theoretic intersections and connectedness of algebraic varieties in \(\mathbb P^n\), A Fulton-Hansen theorem for almost homogeneous spaces, Hypersurfaces of the flag variety: Deformation theory and the theorems of Kodaira-Spencer, Torelli, Lefschetz, M. Noether and Serre, On a connectivity theorem of Mumford for homogeneous spaces, Algebraization, transcendence, and \(D\)-group schemes, A criterion for extending meromorphic functions, On branched coverings of quadrics, Partially ample subvarieties of projective varieties, About the cohomological dimension of certain stratified varieties, Small codimension subvarieties in homogeneous spaces, A Connectedness Theorem for Products of Weighted Projective Spaces, Formal properties in small codimension, Higher ramification loci over homogeneous spaces, The pro-étale cohomology of Drinfeld's upper half space, On the geometry of spherical varieties, Formal functions on homogeneous spaces, Homotopy groups of pullbacks of varieties

Cites Work

• Unnamed Item
• Homogeneous vector bundles
• Local cohomological dimension of algebraic varieties
• Lefschetzsätze und Hyperkonvexität
• \(L^2\)-cohomology and the discrete series
• A very simple proof of Bott's theorem
• Formal functions and formal embeddings
• On meromorphic maps of algebraic varieties
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Transplanting Cohomology Classes in Complex-Projective Space
• Introduction to Lie Algebras and Representation Theory
• On the De Rham cohomology of algebraic varieties