Faltings, Gerd Formale Geometrie und homogene Räume. (German) Zbl 0459.14010 Invent. Math. 64, 123-165 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 17 Documents MSC: 14M07 Low codimension problems in algebraic geometry 14F40 de Rham cohomology and algebraic geometry 14B12 Local deformation theory, Artin approximation, etc. 32J99 Compact analytic spaces 14M17 Homogeneous spaces and generalizations 17B45 Lie algebras of linear algebraic groups Keywords:small codimension; homogeneous complex manifold; singular cohomologies; algebraization of formal meromorphic functions; Lie-algebra; finiteness- theorems; Borel-Weil-theorem PDF BibTeX XML Cite \textit{G. Faltings}, Invent. Math. 64, 123--165 (1981; Zbl 0459.14010) Full Text: DOI EuDML References: [1] Barth, W.: Transplanting cohomology classes in complex-projective space. Amer. J. Math.92, 951-967 (1970) · Zbl 0206.50001 · doi:10.2307/2373404 [2] Bott, R.: Homogeneous vector bundles. Ann. of Math.66, 203-248 (1957) · Zbl 0094.35701 · doi:10.2307/1969996 [3] Chow, W.L.: On meromorphic maps of algebraic varieties. Ann. of Math.89, 391-403 (1969) · Zbl 0184.46501 · doi:10.2307/1970675 [4] Demazure, M.: A very simple proof of Bott’s theorem. Invent. Math.33, 271-272 (1976) · Zbl 0383.14017 · doi:10.1007/BF01404206 [5] Faltings, G.: Algebraisation of some formal vector-bundles. Ann. of Math.110, 501-514 (1979) · Zbl 0415.14010 · doi:10.2307/1971235 [6] Fulton, W., Hansen, J.: A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings. Ann. of Math.110, 159-166 (1979) · Zbl 0405.14012 · doi:10.2307/1971249 [7] Grothendieck, A.: Eléments de géométrie algébrique, Band III1. Publ. Math.11, (1961) [8] Hartshorne, R.: Ample subvarieties of algebraic varieties. Springer Lecture Notes156 (1970) · Zbl 0208.48901 [9] Hartshorne, R.: On the de Rham cohomology of algebraic varieties. Publ. Math.45, 5-99 (1975) · Zbl 0326.14004 [10] Hironaka, H., Matsumura, H.: Formal functions and formal imbeddings. J. Math. Soc. Japan20, 52-82 (1968) · Zbl 0157.27701 · doi:10.2969/jmsj/02010052 [11] Humphreys, J.E.: Introduction to Lie-algebras and representation theory. Berlin-Heidelberg: Springer Verlag 1972 · Zbl 0254.17004 [12] Humphreys, J.E.: Linear algebraic groups. New York: Springer Verlag 1975 · Zbl 0325.20039 [13] Ogus, A.: Local cohomological dimension of algebraic varieties. Ann. of Math.98, 327-365 (1973) · Zbl 0308.14003 · doi:10.2307/1970785 [14] Schmid, W.:L 2-cohomology and the discrete series. Ann. of Math.103, 375-394 (1976) · Zbl 0333.22009 · doi:10.2307/1970944 [15] Schneider, M.: Lefschetzsätze und Hyperkonvexität. Invent. Math.31, 183-192 (1975) · Zbl 0313.32025 · doi:10.1007/BF01404114 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.