References
H. Grauert, “Uber Modifikationen und exzeptionelle analytische Mengen,” Math. Ann.,146, No. 4, 331–368 (1962)
V. I. Savel'ev, “Zero-type embeddings of the sphere into complex surfaces,” Vestn. Mosk. Univ., Ser. 1, Mat. Mekh., No. 4, 28–32 (1982).
K. Kodaira, “On a differential-geometric method in the theory of analytic stacks,” Proc. Natl. Sci. USA,39, 1268–1273 (1953).
V. I. Arnold, “Bifurcations of invariant manifolds of differential equations and normal forms of neighborhoods of elliptic curves,” Funkts. Anal. Prilozhen.10, No. 4, 1–12 (1976).
Yu. S. Il'yashenko, “Positive-type embeddings of elliptic curves into complex surfaces,” Trudy Mosk. Mat. Obshch.,45, 37–67 (1982).
K. Kodaira, “On stability of compact submanifolds of complex manifolds,” Am. J. Math.,75, No. 1, 79–94 (1963).
M. B. Mishustin, “Neighborhoods of the Riemann sphere in complex surfaces,” Funkts. Anal. Prilozhen.,27, No. 3, 29–41 (1993).
K. Kodaira and D. C. Spencer, “Stability theorems for complex structures,” Ann. Math.,71, No. 1, 43–76 (1960).
V. I. Arnold, Ordinary Differential Equations. Additional Chapters [in Russian], Nauka, Moscow (1978).
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Moscow Industrial Bank. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 29, No. 1, pp. 25–40, January–March, 1995.
Supported in part by the International Science Foundation (grant No. M91000).
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Mishustin, M.B. Neighborhoods of Riemann curves in complex spaces. Funct Anal Its Appl 29, 20–31 (1995). https://doi.org/10.1007/BF01077038
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DOI: https://doi.org/10.1007/BF01077038