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A theorem on solutions of analytic equations with applications to deformations of complex structures. (English) Zbl 0303.32018


MSC:

32G05 Deformations of complex structures
32B99 Local analytic geometry
13J05 Power series rings
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References:

[1] Artin, M.: On the solutions of analytic equations. Inventiones math.5, 277-291 (1968) · Zbl 0172.05301
[2] Artin, M.: Algebraic approximation of structures over complete local rings. Publ. Math. I.H.E.S.36, 23-58 (1969) · Zbl 0181.48802
[3] Griffiths, P.A.: The extension problem for compact submanifolds of complex manifolds. I. Proc. Conf. Complex Analysis, Minneapolis, 1964. New York: Springer 1965
[4] Grothendieck, A.: Elements de geometrie algebrique. Publ. Math. I.H.E.S., 1960-1970 · Zbl 0118.36206
[5] Matsumura, H.: Formal power series rings over polynomial rings. I. Number theory, algebraic geometry, and commutative algebra. In honor of Y. Akizuki, Tokyo, 1973 · Zbl 0271.13015
[6] Tougeron, J.C.: Ideaux de fonctions differentiables. New York: Springer 1972 · Zbl 0251.58001
[7] Wavrik, J.J.: Obstructions to the existence of a space of moduli. Global Analysis, papers in honor of K. Kodaira, Princeton U. Press, 1969 · Zbl 0191.38003
[8] Wavrik, J.J.: A theorem of completeness for families of compact analytic spaces. Trans. A.M.S.163, 147-155 (1972) · Zbl 0205.38803
[9] Wavrik, J.J.: Deforming cohomology classes. Trans. A.M.S.181, 341-350 (1973) · Zbl 0238.32011
[10] Wavrik, J.J.: First order completeness theorems. Math. Ann.206, 249-264 (1973) · Zbl 0258.32008
[11] Zariski, O., Samuel, P.: Commutative algebra. New York: Van Nostrand 1958 · Zbl 0081.26501
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