Pacific Journal of Mathematics

Comparison of de Rham and Dolbeault cohomology for proper surjective mappings.

R. O. Wells
Source: Pacific J. Math. Volume 53, Number 1 (1974), 281-300.
First Page: Show Hide
Primary Subjects: 32J25
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102911803
Zentralblatt MATH identifier: 0287.32009
Zentralblatt MATH identifier: 0261.32005
Mathematical Reviews number (MathSciNet): MR0367307

References

[1] A. Aeppli, Modfikationenvon reelen und komplexenMannigfaltigkeiten,Comm. Math. Helv.. 31 (1956/7), 219-301.
Mathematical Reviews (MathSciNet): MR22:7151
Zentralblatt MATH: 0098.36403
[2] A. Borel and A. Haefliger, La classe d'homologie fundamentaled'un espace analy- tique, Bull. Soc. Math. France, 89 (1961), 461-513.
Mathematical Reviews (MathSciNet): MR26:6990
Zentralblatt MATH: 0102.38502
[3] T. Bloom and M. Herrera, De Rham cohomology of an analytic space, Invent. Math., 7 (1969), 275-296.
Mathematical Reviews (MathSciNet): MR40:1601
Zentralblatt MATH: 0175.37301
[4] P. Deligne, Theoreme de Lefschetz et criteres de degenerescence de suites spectrales, Publ. Math. I.H.E.S., No. 35 (1968), 259-277.
Mathematical Reviews (MathSciNet): MR39:5582
Zentralblatt MATH: 0159.22501
[5] G. de Rham, Varietes Differentiables, Hermann, Paris, 1955.
Zentralblatt MATH: 0065.32401
[6] H. Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969.
Mathematical Reviews (MathSciNet): MR41:1976
Zentralblatt MATH: 0176.00801
[7] A. Frhlicher, Relations between the cohomology groups of Dolbeault and topological invariants.Proc. Nat. Acad. Sci. U.S.A., 41 (1955), 641-644.
Mathematical Reviews (MathSciNet): MR17:409a
Zentralblatt MATH: 0065.16502
[8] H. Grauert and 0. Riemensehneider, Verschwindungssdtze fur analytische Kohomo- logie auf komplexen Rdumen, Inv. Math., 11 (1970), 263-297.
Mathematical Reviews (MathSciNet): MR46:2081
Zentralblatt MATH: 0202.07801
[9] R. C. Gunning and H. Rossi, AnalyticFunctionsof Several Complex Variables, Prentice-Hall, Englewood Cliffs, N. J., 1965.
Mathematical Reviews (MathSciNet): MR31:4927
Zentralblatt MATH: 0141.08601
[10] H. Hopf, Zur Algebra der Abbildungen von Mannigfaltigkeiten,J. Reine und Angewand. Math., 163 (1930), 71-88.
Zentralblatt MATH: 56.0501.03
[11] K. Kodaira, On the structure of compact complex analyticsurfaces I, II, Amer. J. Math., 8 (1964), 751-798; 88 (1966), 682-721.
Mathematical Reviews (MathSciNet): MR34:5112
Zentralblatt MATH: 0133.16505
[12] K. Kodaira, Complex Structureson S1 x S\ Proc. Nat. Acad. Sci. U.S.A., 55(1966), 240-243.
[13] K. Kodaira and D. C. Spencer, On deformationsof complex analyticstructures, I, II, Ann. of Math., 67 (1958), 328-466; ///, Ann. of Math., 71 (1960), 43-76.
Mathematical Reviews (MathSciNet): MR22:3009
Zentralblatt MATH: 0128.16901
[14] B. G. Moisezon, On n-dimensionalcompact varieties with n aglebraically inde- pendent meromorphic functions,I, II, III, Amer. Math. Soc. Translat., 63 (2),(1967), 51-177, (Izvest. Akad. Nauk, SSSR, Ser. Mat., 30 133-174; 345-386, 621-656 (1966)).
Mathematical Reviews (MathSciNet): MR35:4215
Zentralblatt MATH: 0162.52503
[15] O. Riemenschneider, CharacterizingMoisezon spaces by almost coherent analytic sheaves. Math. Zeit., 123 (1971), 263-284.
Mathematical Reviews (MathSciNet): MR45:3782
Zentralblatt MATH: 0214.48501
[16] J.-P. Serre, Un theoreme de dualite, Comm. Math. Helv., 29 (1955), 9-25.
Mathematical Reviews (MathSciNet): MR16:736d
Zentralblatt MATH: 0067.16101
[17] S. Sternberg, Lectures on DifferentialGeometry, Prentice-Hall,Englewood Cliffs, N. J., 1965.
Mathematical Reviews (MathSciNet): MR33:1797
Zentralblatt MATH: 0940.53001
[18] A. Weil, Varietes Kahleriennes,Hermann, Paris, 1958.
Mathematical Reviews (MathSciNet): MR22:1921
[19] R. O. Wells, Jr., DifferentialAnalysison Complex Manifolds,Prentice-Hall, Englewood Cliffs, N. J., 1973.
Mathematical Reviews (MathSciNet): MR58:24309a
Zentralblatt MATH: 0262.32005
[20] R. 0. Wells, Jr., Moisezon spaces and the Kodaira embedding theorem, Proc. Conf. on Value Distribution Theory and Differential Geometry, Tulane University, (1973), (to appear).

2013 © Pacific Journal of Mathematics

Pacific Journal of Mathematics

Pacific Journal of Mathematics

Turn MathJax Off
What is MathJax?