A pseudoconvex-pseudoconcave generalization of Grauert's direct image theorem

Yum-Tong Siu

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1972)

  • Volume: 26, Issue: 3, page 649-664
  • ISSN: 0391-173X

How to cite

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Siu, Yum-Tong. "A pseudoconvex-pseudoconcave generalization of Grauert's direct image theorem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.3 (1972): 649-664. <http://eudml.org/doc/83612>.

@article{Siu1972,
author = {Siu, Yum-Tong},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3},
pages = {649-664},
publisher = {Scuola normale superiore},
title = {A pseudoconvex-pseudoconcave generalization of Grauert's direct image theorem},
url = {http://eudml.org/doc/83612},
volume = {26},
year = {1972},
}

TY - JOUR
AU - Siu, Yum-Tong
TI - A pseudoconvex-pseudoconcave generalization of Grauert's direct image theorem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1972
PB - Scuola normale superiore
VL - 26
IS - 3
SP - 649
EP - 664
LA - eng
UR - http://eudml.org/doc/83612
ER -

References

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  1. [1] Andreotti, A., and H. Grauert: Théoremès de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France90, 193-259 (1962). Zbl0106.05501MR150342
  2. [2] Fischer, W.: Eine Bemerkung zu einem Satz von A. Andreotti und H. Grauert. Math. Ann.184, 297-299 (1970). Zbl0177.11501MR259171
  3. [3] Grauert, H.: Ein Theorem der analytishen Garbentheorie und die Modulräume Komplexer Strukturen. I. H. E. S. Nr.5 (1960). Berichtigung. I. H. E. S. Nr.16, 35-36 (1963). Zbl0158.32901MR185614
  4. [4] Kiehl, R.: Variationen über den Kohärenzsatz von Grauert. Preprint, Frankfurt/M., 1970. 
  5. [5] Knorr, K.: Über den Grauertschen Kohärenzsatz bei eigentlichen holomorphen Abbildungen I, II. Ann. Scnola Norm. Sup. Pisa22, 729-761 (1968); 23, 1-74 (1969). Zbl0177.34401MR249666
  6. [6] Knorr, K.: Noch ein Theorem der analytischer Garbentheorie. Preprint, Universität Regensburg, 1970. 
  7. [7] Ling, H.-S.: Extending families of pseudeconcave complex spaces. Ph. D. thesis, University of Notre Dame, Indiana, June 1970. 
  8. [8] Markoe, A., and H. Rossi: Families of strongly Pseudoconvex manifolds. Proo. Conf. Several Complex Variables, Park City, Utah, 1970. Zbl0215.43201MR304703
  9. [9] Siu, Y.- T. : A pseudoconcave generalization of Grauert's direct image theorem: I, II. Ann. Scuola Norm. Sup. Pisa24, 278-330; 439-489 (1970). MR268411
  10. [10] Siu, Y.-T.: Generalizations of Grauert's direct image theorem. Proc. Conf. Several Complex Variables, Park City, Utah, 1970. Zbl0213.09802
  11. [11] Siu, Y.-T.: The 1-convex generalization of Grauert's direct image theorem. Math. Ann.190, 203-214 (1971). Zbl0197.36101MR279341
  12. [12] Siu, Y.T.: Dimensions of sheaf cohomology groups under holomorphic deformation, Math. Ann.192, 203-215 (1971). Zbl0213.09803MR299830

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