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References
Axelsson, R., Schumacher, G.: Eine Künneth-Formel für die Tangentialcohomologie kompakter komplexer Räume. J. reine angew. Math.321, 138–149 (1981)
Bingener, J.: Offenheit der Versalität in der analytischen Geometrie. Math. Z.173, 241–281 (1980)
Borcea, C.: Smooth global complete intersections in certain compact homogeneous complex manifolds. J. reine angew. Math.344, 65–70 (1983)
Bott, R.: Homogeneous vector bundles. Ann. Math.66, 203–248 (1957)
Faltings, G.: Formale Geometrie und homogene Räume. Invent. Math.64, 123–165 (1981)
Flenner, H.: Über Deformationen holomorpher Abbildungen. Habilitationsschrift, Osnabrück 1978. Osnabrücker Schriften zur Mathematik, Juni 1979
Flenner, H.: The infinitesimal Torelli problem for zero sets of sections of vector bundles (to appear Math. Z.)
Forster, O., Knorr, K.: Konstruktion verseller Familien kompakter komplexer Räume. Lect. Notes Math. Vol. 705, Berlin, Heidelberg, New York: Springer 1979
Griffiths, P. (ed.): Topics in transcendental algebraic geometry. Ann. Math. Stud.106 (1984)
Kîi, K.: A local Torelli theorem for cyclic coverings of 471-1 with positive canonical class. Math. USSR Sb.21, 145–155 (1973)
Konno, K.: On deformations and the local Torelli problem of cyclic branched coverings. Math. Ann.271, 601–617 (1985)
Lieberman, D., Peters, C., Wilsker, R.: A theorem of local-Torelli type. Math. Ann.231, 39–45 (1977/78)
Palamodov, V.: Deformations of complex spaces. Usp. Mat. Nauk.31, 3, 129–194 (1976) [Russ.] [Engl. Transl.: Russ. Math. Surveys31, 3, 129–197 (1976)]
Peters, C.: The local Torelli-theorem. II. Cyclic branched coverings. Ann. Sc. Norm. Super. Pisa, Cl. Sci. IV Ser.3, 321–339 (1976)
Peters, C., Steenbrink, J.: Infinitesimal variation of Hodge structure and the generic Torelli problem for projective hypersurfaces. Katata symp. Proc. 1982. Classification of algebraic and analytic manifolds. Progress in Mathematics 39. Boston, Basel, Stuttgart: Birkhäuser 1982
Schuster, H.: Zur Theorie der Deformationen kompakter komplexer Räume. Invent. Math.9, 284–294 (1970)
Schuster, H.: Formale Deformationstheorien. Habilitationsschrift, München 1971
Vieweg, E.: Vanishing theorems. J. reine angew. Math.335, 1–8 (1982)
Wahl, J.: A cohomological characterization of 472-1. Invent. Math.72, 323–334 (1984)
Wavrik, J.: Deformation of branched coverings of complex manifolds. Am. J. Math.90, 926–960 (1968)
Wavrik, J.: A theorem of completeness for families of compact analytic spaces. Trans. AMS163, 147–155 (1972)
Wehler, J.: Deformations of varieties defined by sections in homogeneous vector bundles. Math. Ann.268, 519–532 (1984)
Wehler, J.: Der relative Dualitätssatz für Cohen-Macaulay Räume. Schriftenr. Math. Inst. Univ. Münster. 2. Ser.35 (1985)
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Wehler, J. Cyclic coverings: Deformation and Torelli theorem. Math. Ann. 274, 443–472 (1986). https://doi.org/10.1007/BF01457228
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DOI: https://doi.org/10.1007/BF01457228