Projective embedding of pseudoconcave spaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1970)
- Volume: 24, Issue: 2, page 231-278
- ISSN: 0391-173X
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topAndreotti, Aldo, and Siu, Yum-Tong. "Projective embedding of pseudoconcave spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 24.2 (1970): 231-278. <http://eudml.org/doc/83529>.
@article{Andreotti1970,
author = {Andreotti, Aldo, Siu, Yum-Tong},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {complex functions},
language = {eng},
number = {2},
pages = {231-278},
publisher = {Scuola normale superiore},
title = {Projective embedding of pseudoconcave spaces},
url = {http://eudml.org/doc/83529},
volume = {24},
year = {1970},
}
TY - JOUR
AU - Andreotti, Aldo
AU - Siu, Yum-Tong
TI - Projective embedding of pseudoconcave spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1970
PB - Scuola normale superiore
VL - 24
IS - 2
SP - 231
EP - 278
LA - eng
KW - complex functions
UR - http://eudml.org/doc/83529
ER -
References
top- [1] Andreotti, A., Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves, Bull. Soc. Math. France90, (1963), 1-38. Zbl0113.06403MR152674
- [2] Andreotti A. and Grauert, H., Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France90 (1962), 193-259. Zbl0106.05501MR150342
- [3] Andreotti, A. and Mayer, A., On period relations for abelian integrals on algebraic curves, Ann. Scuola Norm. Sup. Pisa21 (1967), 189-238 Zbl0222.14024MR220740
- [4] Andreotti, A. and Tomassini, G., Some remarks on pseudoconcave manifolds (to appear). Zbl0192.58102MR265632
- [5] Andreotti, A. and Vesentini, E., On deformations of discontinuous groups, Acta Math.112 (1964), 249-298. Zbl0163.10301MR169251
- [6] Cartan, H., Quotients of complex aualytic spaces, Contributions to Function Theory, Tata Institute of Fundamental Research (1960), 1-15. Zbl0122.08702MR139769
- [7] Grauert, H., Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen, Inst. Hautes Études #5 (1960). Zbl0158.32901MR121814
- [8] Grauert H., Über Modifikationen und exzeptionelle analytische Mengen, Math. Ann.146 (1962), 331-368. Zbl0173.33004MR137127
- [9] Gunning, R.C. and Rossi, H., Analytic Functions of Several Complex Variables, Englewood Cliffs, N. J.: Prentice-Hall, 1965. Zbl0141.08601MR180696
- [10] Hironaka, H., The resolution of singularities of an algebraic variety (characteristic zero), Ann. Math.79 (1964), 109-326. Zbl0122.38603MR199184
- [11] Hironaka, H. and Rossi H., On the equivalence of imbeddings of exceptional complex spaces, Math. Ann156 (1964), 313-333. Zbl0136.20801MR171784
- [12] Kuhlmann, N., Die Normalisierung komplexer Räume, Math. Ann.144 (1961), 110-125. Zbl0096.27801MR137846
- [13] Rossi, H., Attaching analytic spaces to an analytic space along a pseudoconcave boundary, Proc. Conf. Complex Analysis (Minneapolis1964), Springer-Verlag (1965), 242-256. Zbl0143.30301MR176106
- [14]. Samuel, P., Anneaux Factoriels, Publication of the Math. Soc. of São Paulo, 1963. Zbl0123.03303MR156867
- [15] Scheja, G., Riemannsche Hebbarkeitssätze für Cohomologieklaasen, Math. Ann.144 (1961), 345-360. Zbl0112.38001MR148941
- [16] Scheja, G., Fortsetzungssätze des komplex-analytischen Cohomologie und ihre algebraische Charakterisierung, Math. Ann.157 (1964), 75-94. Zbl0136.20704MR176466
- [17] Siu, Y.-T., Noether-Lasker decomposition of coherent analytic subsheaves, Trans. Amer. Math. Soc.135 (1969), 375-384. Zbl0175.37403MR234019
- [18] Siu, Y.-T., Absolute gap-sheaves and extensions of coherent analytic sheaves, Trans. Amer. Math. Soc.141 (1969), 361-376. Zbl0184.11001MR243117
- [19] Siu, Y.-T., Analytic sheaf cohomology groups of dimension n of n-dimensional complex spaces, Trans. Amer. Math. Soc. 143 (1969), 77-94. Zbl0186.40404MR252684
- [20] Siu, Y.-T., Extending coherent analytic sheaves, Ann. Math.90 (1969), 108-143. Zbl0181.36301MR245837
- [21] Spanier, E., Algebraic Topology, New York: McGraw-Hill, 1966. Zbl0145.43303MR210112
- [22] Thimm, W., Über Moduln und Ideale von holomorphe Funktionen mehrerer Variablen, Math. Ann.139 (1959), 1-13. Zbl0092.07501MR123023
- [23] Thimm, W., Lückengarben von kohärenten analytischen Modulgarben, Math. Ann.148 (1962), 372-394. Zbl0111.08201MR143944
- [24] Trautmann, G., Ein Kontinuitätssatz für Fortsetzung kohärenter analytischer Garben,Arch. Math.18 (1967), 188-196. Zbl0158.32902MR216034
- [25] Trautmann, G., Eine Bemerkung zur Struktur der kohärenten analytischen Garben, Arch. Math.19 (1968), 300-304. Zbl0162.10403MR228709
- [26] Zariski, O., Results in the arithmetic theory of algebraic varieties, Amer. J. Math.41 (1939), 249-294. Zbl0020.39101MR1507376JFM65.0118.02
- [27] Zariski, O. and Samuel, P., Commutative Algebra, Vol. I, Princeton, N. J.: Van No-strand, 1958. Zbl0081.26501MR90581
Citations in EuDML Documents
top- S. Coen, Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein
- Georges Dloussky, Colmatage de surfaces holomorphes et classification des surfaces compactes
- C. Denson-Hill, Mauro Nacinovich, Elementary pseudoconcavity and fields of CR meromorphic functions
- A. T. Huckleberry, D. Snow, A classification of strictly pseudoconcave homogeneous manifolds
- Frédéric Sarkis, Problème de Plateau complexe dans les variétés kählériennes
- George Marinescu, Asymptotic Morse inequalities for pseudoconcave manifolds
- Aldo Andreotti, Constantin Bănică, Twisted sheaves on complex spaces
- A. T. Huckleberry, D. Snow, Pseudoconcave homogeneous manifolds
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