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Generalizations of Grauert's direct image theorem

Part of the Lecture Notes in Mathematics book series (LNM,volume 184)

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  • Open Subset
  • Commutative Diagram
  • Complex Space
  • Power Series Expansion
  • Reduction Order

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References

  1. Andreotti, A., and Grauert, H., Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France 90 (1962), 193–259.

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  2. Grauert, H., Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukuren, I.H.E.S. No. 5 (1960), Berichtigung, I.H.E.S. No. 16 (1963), 35–36.

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  3. _____, The coherence of direct images, L'Enseignement mathematique 16 (1968), 99–119.

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  4. Gunning, R. C., and Rossi, H., Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, N.J., 1965.

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  5. Knorr, K., Über den Grauertschen Kohärenzsatz bei eigentlichen holomorphen Abbildungen I, II, Ann. Scuola Norm. Sup. Pisa 22 (1968), 729–761, 23 (1969), 1–74.

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  6. Ling, H.-S., Extending families of pseudoconcave complex spaces, Ph. D. Thesis, University of Notre Dame, Notre Dame, Indiana, 1970.

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  7. Richberg, R., Stetige streng pseudoconvexe Funktionen, Math. Ann. 175 (1968), 257–286.

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  8. Rossi, H., Attaching analytic spaces to an analytic space along a pseudoconcave boundary, Proc. Conf. Complex Analysis (Minneapolis 1964), Springer-Verlag (1965), 242–256.

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  9. Siu, Y.-T., Extending coherent analytic sheaves, Ann. of Math. 90 (1969), 108–143.

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  11. _____, A pseudoconcave generalization of Grauert direct image theorem, Ann. Scuola Norm. Sup. Pisa (to appear).

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© 1971 Springer-Verlag

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Siu, YT. (1971). Generalizations of Grauert's direct image theorem. In: Brooks, R.M. (eds) Symposium on Several Complex Variables, Park City, Utah, 1970. Lecture Notes in Mathematics, vol 184. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059283

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  • DOI: https://doi.org/10.1007/BFb0059283

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05370-5

  • Online ISBN: 978-3-540-36455-9

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