Geodesic
Degenerations of $K3$ surfaces and Enriques surfaces
Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 957-989

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In this paper we study good (semistable) degenerations of $K3$ surfaces ($m=1$) and Enriques surfaces ($m=2$). We obtain a classification of such degenerations under the condition that the $m$-canonical class is trivial. We show that for each good degeneration there exists a modification satisfying this condition. Bibliography: 10 titles. 
@article{IM2_1977_11_5_a2,
     author = {Vik. S. Kulikov},
     title = {Degenerations of $K3$ surfaces and {Enriques} surfaces},
     journal = {Izvestiya. Mathematics },
     pages = {957--989},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_5_a2/}
}
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%J Izvestiya. Mathematics 
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Vik. S. Kulikov. Degenerations of $K3$ surfaces and Enriques surfaces. Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 957-989. http://geodesic.mathdoc.fr/item/IM2_1977_11_5_a2/