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First order completeness theorems. (English) Zbl 0249.32013
MSC:
32G05 Deformations of complex structures
32C35 Analytic sheaves and cohomology groups
32G13 Complex-analytic moduli problems
32C15 Complex spaces
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References:
[1] Artin, M.: On the solutions of analytic equation. Invent. Math.5, 277-291 (1968) · Zbl 0172.05301
[2] Grothendieck, A., Dieudonné, J.: Eléments de Géométrie Algébrique. Publ. Math. IHES.
[3] Kodaira, K., Spencer, D. C.: On deformations of complex analytic structures, I, II. Ann. of Math. (2)67, 328-466 (1958) · Zbl 0128.16901
[4] Kodaira, K., Spencer, D. C.: A theorem of completeness for complex analytic fibre spaces. Acta. Math.100, 281-294 (1958) · Zbl 0124.16502
[5] Riemenschneider, O.: Über die Anwendung algebraischer Methoden in die Deformationstheorie komplexer Räume. Math. Ann.187, 40-55 (1970) · Zbl 0196.09701
[6] Schlessinger, M.: Functors of Artin rings. Trans. Amer. Math. Soc.130, 208-222 (1968) · Zbl 0167.49503
[7] Wavrik, J. J.: A theorem of completeness for families of compact analytic spaces. Trans. Amer. Math. Soc.163, 147-155 (1972) · Zbl 0205.38803
[8] Wavrik, J. J.: Deforming cohomology classes. To appear in Trans. Amer. Math. Soc. · Zbl 0238.32011
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