Andreotti, Aldo; Siu, Yum-Tong Projective embedding of pseudoconcave spaces. (English) Zbl 0195.36901 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 24, 231-278 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 44 Documents Keywords:complex functions × Cite Format Result Cite Review PDF Full Text: Numdam EuDML References: [1] Andreotti , A. , Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves , Bull. Soc. Math. France 90 , ( 1963 ), 1 - 38 . Numdam | MR 152674 | Zbl 0113.06403 · Zbl 0113.06403 [2] Andreotti A. and Grauert , H. , Théorèmes de finitude pour la cohomologie des espaces complexes , Bull. Soc. Math. France 90 ( 1962 ), 193 - 259 . Numdam | MR 150342 | Zbl 0106.05501 · Zbl 0106.05501 [3] Andreotti , A. and Mayer , A. , On period relations for abelian integrals on algebraic curves , Ann. Scuola Norm. Sup. Pisa 21 ( 1967 ), 189 - 238 Numdam | MR 220740 | Zbl 0222.14024 · Zbl 0222.14024 [4] Andreotti , A. and Tomassini , G. , Some remarks on pseudoconcave manifolds (to appear). MR 265632 | Zbl 0192.58102 · Zbl 0192.58102 [5] Andreotti , A. and Vesentini , E. , On deformations of discontinuous groups , Acta Math. 112 ( 1964 ), 249 - 298 . MR 169251 | Zbl 0163.10301 · Zbl 0163.10301 · doi:10.1007/BF02391773 [6] Cartan , H. , Quotients of complex aualytic spaces, Contributions to Function Theory , Tata Institute of Fundamental Research ( 1960 ), 1 - 15 . MR 139769 | Zbl 0122.08702 · Zbl 0122.08702 [7] Grauert , H. , Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen , Inst. Hautes Études # 5 ( 1960 ). Numdam | MR 121814 | Zbl 0158.32901 · Zbl 0158.32901 [8] Grauert H. , Über Modifikationen und exzeptionelle analytische Mengen , Math. Ann. 146 ( 1962 ), 331 - 368 . MR 137127 | Zbl 0173.33004 · Zbl 0173.33004 · doi:10.1007/BF01441136 [9] Gunning , R.C. and Rossi , H. , Analytic Functions of Several Complex Variables , Englewood Cliffs, N. J. : Prentice-Hall , 1965 . MR 180696 | Zbl 0141.08601 · Zbl 0141.08601 [10] Hironaka , H. , The resolution of singularities of an algebraic variety (characteristic zero) , Ann. Math. 79 ( 1964 ), 109 - 326 . MR 199184 | Zbl 0122.38603 · Zbl 0122.38603 · doi:10.2307/1970486 [11] Hironaka , H. and Rossi H. , On the equivalence of imbeddings of exceptional complex spaces , Math. Ann 156 ( 1964 ), 313 - 333 . MR 171784 | Zbl 0136.20801 · Zbl 0136.20801 · doi:10.1007/BF01361027 [12] Kuhlmann , N. , Die Normalisierung komplexer Räume , Math. Ann. 144 ( 1961 ), 110 - 125 . MR 137846 | Zbl 0096.27801 · Zbl 0096.27801 · doi:10.1007/BF01451331 [13] Rossi , H. , Attaching analytic spaces to an analytic space along a pseudoconcave boundary , Proc. Conf. Complex Analysis ( Minneapolis 1964 ), Springer-Verlag ( 1965 ), 242 - 256 . MR 176106 | Zbl 0143.30301 · Zbl 0143.30301 [14] . Samuel , P. , Anneaux Factoriels , Publication of the Math. Soc . of São Paulo , 1963 . MR 156867 | Zbl 0123.03303 · Zbl 0123.03303 [15] Scheja , G. , Riemannsche Hebbarkeitssätze für Cohomologieklaasen , Math. Ann. 144 ( 1961 ), 345 - 360 . MR 148941 | Zbl 0112.38001 · Zbl 0112.38001 · doi:10.1007/BF01470506 [16] Scheja , G. , Fortsetzungssätze des komplex-analytischen Cohomologie und ihre algebraische Charakterisierung , Math. Ann. 157 ( 1964 ), 75 - 94 . MR 176466 | Zbl 0136.20704 · Zbl 0136.20704 · doi:10.1007/BF01362668 [17] Siu , Y.-T. , Noether-Lasker decomposition of coherent analytic subsheaves , Trans. Amer. Math. Soc. 135 ( 1969 ), 375 - 384 . MR 234019 | Zbl 0175.37403 · Zbl 0175.37403 · doi:10.2307/1995021 [18] Siu , Y.-T. , Absolute gap-sheaves and extensions of coherent analytic sheaves , Trans. Amer. Math. Soc. 141 ( 1969 ), 361 - 376 . MR 243117 | Zbl 0184.11001 · Zbl 0184.11001 · doi:10.2307/1995108 [19] Siu , Y.-T. , Analytic sheaf cohomology groups of dimension n of n-dimensional complex spaces , Trans. Amer. Math. Soc . 143 ( 1969 ), 77 - 94 . MR 252684 | Zbl 0186.40404 · Zbl 0186.40404 · doi:10.2307/1995234 [20] Siu , Y.-T. , Extending coherent analytic sheaves , Ann. Math. 90 ( 1969 ), 108 - 143 . MR 245837 | Zbl 0181.36301 · Zbl 0181.36301 · doi:10.2307/1970684 [21] Spanier , E. , Algebraic Topology , New York : McGraw-Hill , 1966 . MR 210112 | Zbl 0145.43303 · Zbl 0145.43303 [22] Thimm , W. , Über Moduln und Ideale von holomorphe Funktionen mehrerer Variablen , Math. Ann. 139 ( 1959 ), 1 - 13 . MR 123023 | Zbl 0092.07501 · Zbl 0092.07501 · doi:10.1007/BF01459818 [23] Thimm , W. , Lückengarben von kohärenten analytischen Modulgarben , Math. Ann. 148 ( 1962 ), 372 - 394 . MR 143944 | Zbl 0111.08201 · Zbl 0111.08201 · doi:10.1007/BF01365556 [24] Trautmann , G. , Ein Kontinuitätssatz für Fortsetzung kohärenter analytischer Garben , Arch. Math. 18 ( 1967 ), 188 - 196 . MR 216034 | Zbl 0158.32902 · Zbl 0158.32902 · doi:10.1007/BF01899645 [25] Trautmann , G. , Eine Bemerkung zur Struktur der kohärenten analytischen Garben , Arch. Math. 19 ( 1968 ), 300 - 304 . MR 228709 | Zbl 0162.10403 · Zbl 0162.10403 · doi:10.1007/BF01899508 [26] Zariski , O. , Results in the arithmetic theory of algebraic varieties , Amer. J. Math. 41 ( 1939 ), 249 - 294 . MR 1507376 | Zbl 0020.39101 | JFM 65.0118.02 · Zbl 0020.39101 · doi:10.2307/2371499 [27] Zariski , O. and Samuel , P. , Commutative Algebra , Vol. I , Princeton, N. J. : Van No-strand , 1958 . MR 90581 | Zbl 0081.26501 · Zbl 0081.26501 This reference list is based on information provided by the publisher or from digital mathematics libraries. 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