Geodesic
Zero-type embeddings of the sphere into complex surfaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 28-32

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We study holomorphic injections of the Riemann sphere into complex surfaces in the case where the selfintersection index is zero. Such injections are proved to be analytically equivalent to the trivial injection of the sphere into the direct product of the sphere by the disk. 
@article{VMUMM_1982_4_a6,
     author = {V. I. Savel'ev},
     title = {Zero-type embeddings of the sphere into complex surfaces},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {28--32},
     publisher = {mathdoc},
     number = {4},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a6/}
}
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V. I. Savel'ev. Zero-type embeddings of the sphere into complex surfaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 28-32. http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a6/