Geodesic
On the degeneration of $K3$ surfaces over fields of finite characteristic
Izvestiya. Mathematics, Tome 18 (1982) no. 3, pp. 561-574 
A. N. Rudakov; I. R. Shafarevich. On the degeneration of $K3$ surfaces over fields of finite characteristic. Izvestiya. Mathematics, Tome 18 (1982) no. 3, pp. 561-574. http://geodesic.mathdoc.fr/item/IM2_1982_18_3_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The authors describe degenerations of strongly elliptic surfaces of type $K3$, with Hasse invariant equal to zero, over fields of finite characteristic. Bibliography: 9 titles.

[1] Artin M., “Supersingular K3 Surfaces”, Ann. Sci. l'Ecole Normale Superieure 4-e ser., 7:4 (1974), 543–567 | MR | Zbl

[2] Artin M., “Algebraic Construction of Brieskorn's Resolutions”, J. of Algebra, 29:2 (1974), 330–348 | DOI | MR | Zbl

[3] Brieskorn E., “Singular elements of semi-simple algebraic groups”, Proceedings of the International Congress of Mathematicians, v. 2 (Nice, 1970), 279–290 | MR

[4] Horikawa E., “Surjectivity of the Period Map of K3 Surfaces of Degree 2”, Math. Ann., 228:2 (1977), 113–146 | DOI | MR | Zbl

[5] Kulikov V. S., “Vyrozhdeniya KZ poverkhnostei”, Izv. AN SSSR. Seriya matem., 41:5 (1977), 1008–1042 | MR | Zbl

[6] Mumford D., Geometric Invariant Theory, Berlin, 1965 | MR

[7] Ogus A., “Supersingular K3 crystals”, Asterisque, 64, Paris, 1979, 3–86 | MR | Zbl

[8] Tyurina G..N., “Razreshenie osobennostei gladkikh deformatsii izolirovannykh ratsionalnykh dvoinykh tochek”, Funkts. analiz i ego prilozh., 4:1 (1970), 77–83 | MR | Zbl

[9] Rapoport B., Zink T., Über die lokalen Faktoren der $\zeta$-Funktion einiger Shimuramannigfaltigkeiten, Preprint, 1980