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Fujiki, Akira

On a holomorphic fiber bundle with meromorphic structure. (English) Zbl 0528.32024

Publ. Res. Inst. Math. Sci. 19, 117-134 (1983).
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Cited in 5 Documents

MSC:

32M05 Complex Lie groups, group actions on complex spaces
32L05 Holomorphic bundles and generalizations
32M10 Homogeneous complex manifolds
32H99 Holomorphic mappings and correspondences

Keywords:

quotient of complex variety; Lie group of analytic automorphisms; relative meromorphic subgroup of automorphism group; Douady space
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References:

[1] Frisch, J., Points de platitude d’un morphisme d’espaces analytiques complexes, Inventories math., 4 (1967), 118-138. · Zbl 0167.06803 · doi:10.1007/BF01425245
[2] Fujiki, A., Closedness of the Douady spaces of compact Kahler spaces, Publ. RIMS, Kyoto Univ., 14 (1978), 1-51. · Zbl 0409.32016 · doi:10.2977/prims/1195189279
[3] , On automorphism groups of compact Kahler manifolds, Inventiones math., 44 (1978), 225-258. · Zbl 0367.32004 · doi:10.1007/BF01403162
[4] , On the Douady space of a compact complex space in the category C, Nagoya J. Math., 85 (1982), 189-211. j- 5 ] f On the structure of compact complex manifolds in C, Advanced Studies in Pure Math., 1, ed. S. litaka and H. Morikawa, (1982), 229-300.
[5] f Coarse moduli spaces for polarized compact Kahler manifolds and polarized algebraic manifolds, to appear.
[6] Grothendieck, A., A general theory of fiber spaces with structure sheaf, Univer- sity of Kansas, 1955.
[7] 9 Technique de construction en geometric analytique, Seminaire H. Cartan, 13e annee (1960/61).
[8] Hironaka, H., Flattening theorem in complex analytic geometry, Amer. J. Math., 96 (1975), 503-547. · Zbl 0307.32011 · doi:10.2307/2373721
[9] Holmann, H., Quotienten Komplexer Raume, Math. Ann., 142 (1961), 407-440. · Zbl 0097.28602 · doi:10.1007/BF01450934
[10] Mumford, D., Geometric invariant theory, Berlin-Heidelberg-New York, Springer, 1965. · Zbl 0147.39304
[11] Pourcin, G., Theoreme de Douady audessus de S, Ann. Sci. Norm. Sup. di Pisa, 23 (1969), 451-459. · Zbl 0186.14003
[12] Schuster, H. W., Zur Theorie der Deformationen kompakter komplexer Raume, Inventiones math., 9 (1970), 284-294. · Zbl 0192.44201 · doi:10.1007/BF01425483
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