@book{MSMF_1998_2_72-73__R1_0, author = {Winkelmann, J\"org}, title = {Complex analytic geometry of complex parallelizable manifolds}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {72-73}, year = {1998}, doi = {10.24033/msmf.386}, mrnumber = {99g:32058}, zbl = {0918.32015}, language = {en}, url = {http://www.numdam.org/item/MSMF_1998_2_72-73__R1_0/} }
TY - BOOK AU - Winkelmann, Jörg TI - Complex analytic geometry of complex parallelizable manifolds T3 - Mémoires de la Société Mathématique de France PY - 1998 IS - 72-73 PB - Société mathématique de France UR - http://www.numdam.org/item/MSMF_1998_2_72-73__R1_0/ DO - 10.24033/msmf.386 LA - en ID - MSMF_1998_2_72-73__R1_0 ER -
%0 Book %A Winkelmann, Jörg %T Complex analytic geometry of complex parallelizable manifolds %S Mémoires de la Société Mathématique de France %D 1998 %N 72-73 %I Société mathématique de France %U http://www.numdam.org/item/MSMF_1998_2_72-73__R1_0/ %R 10.24033/msmf.386 %G en %F MSMF_1998_2_72-73__R1_0
Winkelmann, Jörg. Complex analytic geometry of complex parallelizable manifolds. Mémoires de la Société Mathématique de France, Série 2, no. 72-73 (1998), 224 p. doi : 10.24033/msmf.386. http://numdam.org/item/MSMF_1998_2_72-73__R1_0/
[1] Invariant meromorphic functions on complex semisimple Lie groups. Invent. Math. 65, n° 3, 325-329 (1981/1982) | Zbl | MR | EuDML
:[2] Lie Groups actions in complex analysis. Aspects of Mathematics. Vieweg 1995 | Zbl | MR
:[3] Group actions on the Dolbeault cohomology of homogeneous manifolds. Math. Z. (1996). | Zbl | MR
:[4] On the Krull-Schmidt theorem with applications to sheaves. Bull. Soc. Math. France 84, 307-317 (1956) | Numdam | Zbl | MR | EuDML
:[5] Complex analytic connections in fibre bundles. Trans. Amer. Math. Soc. 85, 181-207 (1957) | Zbl | MR
:[6] K-Theory. Benjamin 1967 | Zbl | MR
:[7] Vector Bundles on Projective 3-space. Invent. Math. 36, 131-153 (1976) | Zbl | MR | EuDML
; :[8] Transcendental Number Theory. Cambridge University Press 1975 | Zbl | MR
:[9] Familles analytiques de cycles paramétrées par un espace analytique réduit. LN 481, 1-158. Springer 1975 | MR
:[10] Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten. Comm. Math. Helv. 44, 269-281 (1969) | Zbl | MR
; :[11] Invariante Holomorphe Funktionen auf reduktiven Liegruppen. Math. Ann. 201, 91-112 (1973) | Zbl | MR
; :[12] Invariant Plurisubharmonic Functions and Hypersurfaces on Semisimple Complex Lie Groups. Math. Ann. 281, 513-530 (1988) | Zbl | MR
; :[13] Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant. Invent. Math. 128, 207-302 (1997) | Zbl | MR
; :[14] Sur les variétés analytiques complexes. Ann. Sci. ecole norm. sup. 73, 157-202 (1956) | Zbl | MR | Numdam
:[15] Groups on analytic manifolds. Ann. of Math. 48 (2), 659-669 (1947). | Zbl | MR
; :[16] On the finite Subgroups of Connected Lie Groups. Comm. Math. Helv. 39, 281-294 (1964) | Zbl | MR
; :[17] Density properties of certain subgroups of semisimple groups without compact components. Ann. of Math. 72, 179-188 (1960) | Zbl | MR
:[18] Compact Clifford Klein forms of symmetric spaces. Topology 2, 111-122 (1963) | Zbl | MR
:[19] Introduction aux groupes arithmetiques. Hermann 1969 | Zbl | MR
:[20] Linear algebraic groups. Second Enlarged Edition. Springer 1991 | Zbl | MR
:[21] Arithmetic subgroups of algebraic groups. Ann. Math. 75, 485-535 (1962) | Zbl | MR
; :[22] Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann. 145, 429-439 (1962) | Zbl | MR
; :[23] Groupes Reductifs. IHES 27, 55-152 (1965) | Zbl | MR | Numdam
; :[24] Intégration. Ch. VII. Hermann, Paris. 1960
:[25] Compact manifolds and hyperbolicity. T.A.M.S. 235, 213-219 (1978) | Zbl | MR
:[26] On Twistor Spaces of the class C.J. Diff. Geo. 33, 541-549 (1991) | Zbl | MR
:[27] Remarques sur le revêtement universel des variétés Kählériennes compactes. Bull. Soc. math. France. 122, 255-284 (1994) | Zbl | MR | Numdam
:[28] Connexité abélienne des variétés kählériennes compactes. C.R. Acad. Sci. Paris, t. 325, Série I, 755-758 (1997) | Zbl | MR
:[29] Periodic meromorphic functions. Acta Math. 166, 27-68 (1991) | Zbl | MR
; :[30] La topologie des groupes de Lie. Enseign. math. 35, 177-200 (1936) | Zbl | JFM
:[31] On the Hasse-principle for groups of type E8. Dokl. Akad. Nauk. SSSR 306, 1059-1063 (1989) Translation: Sov. Math. Dokl. 39, 592-596 (1989) | Zbl
:[32] La suite spectrale de Frölicher et les nilvariétés complexes compactes. C.R. Acad. Sci. Paris 305, 753-756 (1987) | Zbl | MR
; ; :[33] The Froehlicher spectral sequence for compact nilmanifolds. Ill. J. Math. 35, no. 1, 56-67 (1991) | Zbl | MR
; ; :[34] Archimedean superrigidity and hyperbolic geometry. Ann. of Math. 135, 165-182 (1992) | Zbl | MR
:[35] Representation Theory of Finite Groups and associative algebras. Interscience 1962. (Reprinted 1988 in the Wiley Classics Library series.) | Zbl
; :[36] Derivations of nilpotent Lie algebras Proc. A.M.S. 8, 155-158 (1957) | Zbl | MR
; :[37] Lectures on Algebraic Topology. Springer Berlin Heidelberg New York 1972 | Zbl | MR
:[38] Semisimple subalgebras of semisimple Lie algebras. Mat. Sbornik N.S. 30 (72), 349-462, Moskva (1952) | Zbl | MR
:[39] Maximal subgroups of classical groups. Trudy Moskov. Mat. Ob. 1, 39-66, Moskva (1952) | Zbl | MR
:[40] Über die Deformationen von Vektorraumbündeln auf kompakten komplexen Räumen. Math. Ann. 209, 291-346 (1974) | Zbl | MR
; :[41] Relations between the cohomology groups of Dolbeault and topological invariants. Proc. Nat. Acad. Sci. U.S.A. 41, 641-644 (1955) | Zbl | MR
:[42] Déformations des structures complexes sur les espaces homogènes de SL(2,ℂ). J. Reine Angew. Math. 468, 113-138 (1995) | Zbl | MR
:[43] On an arcwise connected subgroup of a Lie group. Proc. A.M.S. 20, 157-162 (1969) | Zbl | MR
:[44] Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen. Math. Ann. 133, 450-472 (1957) | Zbl | MR
:[45] Über kompakte homogene komplexe Mannigfaltigkeiten. Arch. Math. 13, 498-507 (1962) | Zbl | MR
; :[46] Coherent Analytic Sheaves. Springer 1984 | Zbl | MR
, :[47] Two Applications of Algebraic Geometry to Entire Holomorphic Mappings. The Chern Symposium 1979, Springer, New-York Berlin (1980) | Zbl
; :[48] Principles of Algebraic Geometry. Pure and Applied Mathematics, Wiley-Interscience, New-York (1978) | Zbl | MR
; :[49] Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one. Publ. IHES 76, 165-246 (1992). | Zbl | MR | Numdam
; :[50] Introduction to Holomorphic Functions of several variables. 3 volumes. Wadsworth 1990. | Zbl
:[51] Bericht über neuere Resultate der Galoiskohomologie halbeinfacher Gruppen. Jahresber. DMV, 70, 182-216 (1968). | Zbl | MR
:[52] Varieties of small codimension in projective space. Bull. A.M.S. 80, 1017-1032 (1974). | Zbl | MR
:[53] Algebraic Geometry. Springer 1977. | Zbl | MR
:[54] A finitely generated infinite simple group. J. London Math. Soc. 26, 61-64 (1951). | Zbl | MR
:[55] Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II. Ann. of Math. (2), 79, 109-326 (1964). | Zbl | MR
:[56] Bimeromorphic smoothing of a complex-analytic space. Math. Inst. Warwick Univ. 1971.
:[57] The Structure of Lie groups. Holden Day Inc 1965. | Zbl | MR
:[58] Invariant analytic hypersurfaces. Invent. Math. 71, 235-240 (1983). | Zbl | MR
; :[59] Classification theorems for almost homogeneous spaces. Revue De l'Institut Elie Cartan, Numéro 9, Janvier 1984. | Zbl | MR
; :[60] On holomorphically separable complex solvmanifolds. Ann. Inst. Fourier XXXVI 3, 57-65 (1986). | Zbl | MR | Numdam
; :[61] Actions of Groups of Holomorphic Transformations. Encyclopaedia of Mathematical Sciences. Volume 69 Several Complex Variables VI. (1990). | Zbl | MR
:[62] Pseudoconcave homogeneous manifolds. Ann. Scuola Norm. Sup. Pisa, (4), 7, 29-54 (1980). | Zbl | MR | Numdam
; :[63] Subvarieties of parallelizable manifolds. Math. Ann. 295, 469-483 (1993). | Zbl | MR
; :[64] Linear algebraic groups. GTM 21 Springer 1975. | Zbl | MR
:[65] Arithmetic Groups. LN 789 Springer 1980. | Zbl | MR
:[66] Fibre bundles. 3. ed. Springer 1994. | Zbl | MR
:[67] Density properties of complex Lie groups. Osaka J.Math. 23, 859-865 (1986). | Zbl | MR
:[68] Mémoire sur les équations différent linéaires à intégrale algébriques. J. Reine Angew. Math. 84, 89-215 (1878). | JFM
:[69] Compact 3-manifolds of constant negative curvature fibering over the circle. Ann. Math. 106, 61-72 (1977). | Zbl | MR
:[70] Harmonic maps and superrigidity. Proc. Symp. Pure Math. 54, 245-280 (1993). | Zbl | MR
; :[71] Holomorphic Functions of Several Variables. De Gruyter 1983. | Zbl | MR
; :[72] Connection of the dual space of a group with the structure of its closed subgroups. Funct. Anal. Appl. 1, 63-65 (1967). | Zbl | MR
:[73] A proof of Selbergs hypothesis. Math. Sbornik 75, 162-168 (1968). | Zbl | MR
; :[74] Lie Groups Beyond an Introduction. Birkhäuser 1996. | Zbl | MR
:[75] Hyperbolic manifolds and holomorphic mappings. Dekker Inc. 1970. | Zbl | MR
:[76] Simple factors in the Jacobian of a Fermat curve. Canad. J. Math. 31, 1183-1205 (1978). | Zbl | MR
; :[77] Geometrische Methoden in der Invariantentheorie. Aspekte der Mathematik, Band D1. Vieweg 1984. | Zbl | MR
:[78] Abelian Varieties. Interscience 1959. | Zbl | MR
:[79] Complex Multiplication. Springer 1983. | Zbl | MR
:[80] Introduction to Complex Hyperbolic Spaces. Springer 1987. | Zbl | MR
:[81] Action non triviale sur le premier groupe de comologie de Dolbeault. Comptes Rendus Acad. Sci. Paris 316, 823-825 (1993). | Zbl | MR
:[82] Cohomologie totale et courants de Dolbeault invariants. J. Reine Angew. Math. 475, 103-136 (1996). | Zbl | MR
:[83] Über die Zahl π. Math. Ann. 20, 213-225 (1882). | JFM
:[84] Free Quotients and the first Betti number of some hyperbolic manifolds. Transformation Groups. 1, 71-82 (1996). | Zbl | MR
:[85] The topology of CW-complexes. Van Nostrand 1969. | Zbl
; :[86] On a certain class of discrete groups of Lobachevsky space having an infinite fundamental region of finite measure. Soviet Math. Dokl. 7, 328-331 (1966). | Zbl | MR
:[87] On isomorphism matrix representations of infinite groups. Mat. Sb. 8, 405-422 (1940). | Zbl | MR | JFM
:[88] Commutative subalgebras of semisimple Lie algebras. Izv. Nauk USSR 9, 291-300 (1945). | Zbl | MR
:[89] On a class of homogeneous spaces. Izvestiya Akad. Nauk SSSR Ser. Math. 13 (1949)/ AMS Transl. no. 39 (1951). | Zbl | MR
:[90] Free totally discontinuous groups of affine transformations. Soviet Math. Doklady 28, 435-439 (1983). | Zbl
:[91] Complete affine locally flat manifolds with free fundamental group. Zapiski Nauen. Sem. Leningrad Otd. Mat. Inst. Steklov 134, 190-205 (1984) [in Russian]. | Zbl | MR
:[92] Discrete subgroups of semi-simple Lie groups. Erg. Math., Springer-Verlag 1990. | Zbl
:[93] On the discrete subgroups and homogeneous spaces of nilpotent Lie groups. Nagoya Math. J. 2, 95-110 (1951). | Zbl | MR
:[94] Fibrés holomorphes sur un tore complexe. Nagoya Math. J. 14, 1-24 (1959). | Zbl | MR
:[95] Espaces homogènes de Stein des groupes de Lie complexes I. Nagoya Math. J. 16, 205-218 (1960). | Zbl | MR
:[96] Sur certaines espaces fibrés holomorphes sur une variété de Stein. Bull. Soc. Math. France 88, 137-155 (1960). | Zbl | MR | Numdam
; :[97] On the first Betti number of a compact constant negatively curved manifold. Ann. of Math. 104, 235-247 (1976). | Zbl | MR
:[98] On fundamental groups of completely affinely flat manifolds. Adv. Math. 25, 178-187 (1977). | Zbl | MR
:[99] Geometric superrigidity. Invent. math. 113, 57-83 (1993). | Zbl | MR
; ; :[100] Topological Transformation Groups. Interscience 1955. | Zbl | MR
; :[101] Sur le groupe d'automorphismes d'un espace fibré principal analytique complexe. Nagoya Math. J. 13, 157-168 (1959). | Zbl | MR
:[102] On the density theorems of Borel and Furstenberg. Ark. Mat. 16, 11-27 (1978). | Zbl | MR
:[103] Factor spaces of solvable groups. Ann. of Math. 60, 1-27 (1954). | Zbl | MR
:[104] Homogeneous spaces of finite invariant measures Ann. of Math. 75, 17-37 (1962) | Zbl | MR
:[105] Intersection of discrete subgroups with Cartan subgroups. J. Ind. Math. Soc. 34, 203-214 (1970) | Zbl | MR
:[106] Arithmetic subgroups of groups with radical. Ann. Math. 93, 409-438 (1971) | Zbl | MR
:[107] On the compactness of the arithmetically defined homogeneous spaces. Ann. Math. 76, 440-463 (1962) | Zbl | MR
; :[108] Abelian varieties. Oxford University Press 1970 | Zbl | MR
:[109] Sur certains espaces fibrés principaux holomorphes admettant des connexions holomorphes. Osaka Math. J. 11, 43-62 (1959) | Zbl | MR
:[110] Complex parallisable manifolds and their small deformations. J. Diff. Geo. 10, 85-112 (1975). | Zbl | MR
:[111] Algebraische Zahlentheorie. Springer 1992 | Zbl
:[112] Hyperflächen und Geradenbündel auf homogenen komplexen Mannnigfaltigkeiten. Schriftenreihe Math. Inst. Univ. Münster (2) 36 (1985) | Zbl | MR
:[113] Some Remarks on Parallelizable Manifolds. Publ. IRMA, Lille 27, 1992
; :[114] Vector Bundles on Complex Projective Spaces. Progress in Math. 3, Birkhäuser Boston, 1980 | Zbl | MR
; ; and :[115] Lie groups and Algebraic groups. Springer 1990 | Zbl | MR
; :[116] Über homogene kompakte komplexe Mannigfaltigkeiten. Habilitationsschrift. Münster 1972
:[117] Beispiele homogener Mannigfaltigkeiten. Manu. math. 10, 117-127 (1973) | Zbl | MR
; :[118] Sous-groupes discrets des groupes de Lie : rigidité, arithmeticité. Séminaire Bourbaki. 46ème année (1993/1994), exposé 778 | Zbl | Numdam
:[119] Generalized Jacobians. Transl. A.M.S. 84 (1968)
:[120] Meromorphic function fields of non-compact ℂ/Г. Ph. D. thesis. Notre Dame University, Indiana 1977
:[121] On the first cohomology of discrete subgroups of semisimple Lie groups. Amer. J. Math. 87, 103-139 (1965) | Zbl | MR
:[122] Vanishing Theorems for Cohomology Groups Associated To Discrete Subgroups of Semisimple Lie Groups. Osaka J. Math. 3, 243-256 (1966) | Zbl | MR
:[123] Discrete subgroups of Lie groups. Erg. Math. Grenzgeb. 68, Springer (1972) | Zbl | MR
:[124] Deformations of complex structure Г\SL2(ℂ). Proc. Indian Acad. Sci. Math. Sci. 104, n° 2, 389-395 (1994). | Zbl | MR
:[125] Meromorphe Funktionen in Kompakten Komplexen Räumen. Math. Ann. 132, 277-288 (1956) | Zbl | MR
:[126] Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten. Topology 2, 137-157 (1963) | Zbl | MR
; :[127] Holomorphic maps from ℂn to ℂn Trans. A.M.S. 310, 47-86 (1988) | Zbl | MR
; :[128] On quotient varieties and the affine embedding of certain homogeneous spaces. Trans. A.M.S. 101, 211-223 (1961) | Zbl | MR
:[129] On Compact Complex parallelisable Solvmanifolds. Osaka J. Math. 13, 187-219 (1976) | Zbl | MR
:[130] Quadratic and hermitian forms. Grundlehren der mathematischen Wissenschaften, 270. Springer 1985 | Zbl | MR
:[131] Über Gruppen periodischer Substitutionen. Sitzber. Preuss. Akad. Wiss., 619-627 (1911) | JFM
:[132] Zur Theorie vertauschbarer Matrizen. J. Reine Angew. Math. 30, 66-76 (1905) | JFM
:[133] Galois Cohomology. Translated from the French by Patrick Ion and revised by the author. Springer 1997 | Zbl | MR
:[134] Cohomologie galoisienne. Lecture Notes in Mathematics, Springer 1994 | Zbl | MR
:[135] Complex multiplications of abelian varieties and its applications to number theory. Publ. Math. Soc. Japan 6 (1961) | Zbl | MR
; :[136] On discontinuous groups in higher-dimensional symmetric spaces. in Contributions to function theory. Bombay 1960, p. 147-164 | Zbl | MR
:[137] Sur les modules projectifs. Sem. Dubreil-Pisot exposé 2. (1960/1961) | Zbl | Numdam
:[138] Homogeneous Manifolds with Large Automorphism Groups. Invent. math. (1998) | Zbl | MR
; :[139] Algebraic Topology McGraw-Hill 1966. Corrected Reprint : Springer 1981 | Zbl
:[140] The existence of self-dual conformal structures. J. Diff. Geom. 36, 163-253 (1992) | Zbl | MR
:[141] Threedimensional manifolds, Kleinian groups and Hyperbolic Geometry. Bull. A.M.S. 6, N.S. 357-381 (1982) | Zbl | MR
:[142] Three-dimensional geometry and topology. Vol. 1. Edited by Silvio Levy. Princeton Mathematical Series, 35. Princeton University Press 1997 | Zbl | MR
:[143] Espaces homogènes complexes compacts. Comm. Math. Helv. 37 (1962), 111-120 | Zbl | MR
:[144] Tabellen zu den eifachen Lie Gruppen und ihren Darstellungen. Springer LN 40. 1967 | Zbl
:[145] Free subgroups in linear groups. J. Algebra 20, 250-270 (1972) | Zbl | MR
:[146] Classification Theory of Algebraic Varieties and Compact Complex Spaces. LN 439 Springer 1975 | Zbl | MR
:[147] Kähler spaces and proper open morphisms. Math. Ann. 283, 13-52 (1989) | Zbl | MR
:[148] Discrete groups generated by reflections in Lobachevsky spaces. Math. USSR Sbornik 1, 429-444 (1967)
:[149] Complex parallelisable manifolds. Proc. A.M.S. 5, 771-776 (1954) | Zbl
:[150] On discrete subgroups of Lie groups I, II. Ann. Math. 72, 369-384 (1960) and 75, 578-602 (1962) | Zbl | MR
:[151] Remarks on the cohomology of groups. Ann. of Math. 80, 149-157 (1964) | Zbl | MR
:[152] Every compact complex manifold admits a holomorphic vector bundle. Revue Roum. Math. Pures et Appl. 38, 743-744 (1993) | Zbl | MR
:[153] Complex-Analytic Geometry of Complex Parallelizable Manifolds. Habilitationsschrift. Ruhr-Universität Bochum. Schriftenreihe des Graduiertenkolleg, Heft 13 (1995)
:[154] Holomorphic Functions on Algebraic Groups Invariant under a Zariski dense subgroup. 519-529 in Proc. Complex Analysis and Geometry. Lecture Notes in Pure and Applied Math., Dekker Inc. 1995 | Zbl
[155] Complex Parallelizable Manifolds. Proc. Geometric Complex Analysis. 667-678 ed. by J. Noguchi et. al. World Scientific Publishing. Singapur 1996 | Zbl | MR
:[156] On Discrete Zariski Dense Subgroups of Algebraic Groups. Math. Nachr. 186, 285-302 (1997) | Zbl | MR
:[157] Only Countably Many Simply-Connected Lie Groups Admit Lattices. Complex Analysis and Geometry. Pitman Research Notes in Mathematics Series. V. Ancona, E. Ballico, R. Miro-Roig, A. Silva eds. | Zbl
:[158] Holomorphic self-maps of Parallelizable Manifolds. Transformation Groups. (1998) | Zbl | MR
:[159] Homogeneous Vector bundles on Parallelizable Manifolds. (to appear)
:[160] The Albanese Variety of a Complex Parallelizable Manifold. (to appear).
:[161] Arithmeticity of complex nilmanifolds. (to appear)
:[162] A Note on a Theorem on lattices in Lie Groups. Canad. Math. Bull. 31 (2), (1988) | Zbl | MR
:[163] Ergodic Theory and Semisimple Groups. Birkhäuser 1984 | Zbl | MR
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