Quotients of K3 surfaces modulo involutions

Japanese Journal of Mathematics

Volumn 24, Issue 2, 1998, Pages 335-366

  Zhang, D Q ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84952767915     PISSN: 02892316     EISSN: None     Source Type: Journal    
DOI: 10.4099/math1924.24.335     Document Type: Article

References (35)

1. V.A. Alexeev and V.V. Nikulin, Classification of del Pezzo surfaces with log-terminal singularities of index < 2, and involutions on K3 surfaces, Soviet Math. Dokl., 39 (1989), 507–511.
2. M. Blache, The structure of l.c. surfaces of Kodaira dimension zero, I, J. Alg. Geom., 4 (1995), 137–179.
3. E. Brieskorn, Rationale Singularitaten komplexer Flachen, Invent. Math., 4 (1968), 336–358.
4. M. Demazure, Surfaces de del Pezzo - I, II, III, IV, V, in: Lecture Notes in Math., 777 (1980), 22–69.
5. R.V. Gurjar and D.-Q. Zhang, π1 of smooth points of a log del Pezzo surface is finite: I, II, J. Math. Sci. Univ. Tokyo, 1 (1994), 137-180.
6. R.V. Gurjar and D.-Q. Zhang, π1 of smooth points of a log del Pezzo surface is finite: I, II, J. Math. Sci. Univ. Tokyo, 2 (1995), 165–196.
7. R.V. Gurjar and D.-Q. Zhang, On the fundamental groups of some open rational surfaces, Math. Ann., 306 (1996), 15–30.
8. E. Horikawa, On deformations of quintic surfaces, Inv. Math., 31 (1975), 43–85.
9. E. Horikawa, Algebraic surfaces of general type with small c21, III, Invent. Math., 47 (1978), 209–248.
10. Y. Kawamata, The cone of curves of algebraic varieties, Ann. of Math., 119 (1984), 603–633.
11. Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, in: Advanced Studies in Pure Mathematics, 10 (1987), 283–360.
12. J. Kollar, Flips and abundance for algebraic threefolds, Asterisque, 211 (1992).
13. R. Miranda, Persson’s list of singular fibers for a rational elliptic surfaces, Math. Z., 205 (1990), 191–211.
14. D.R. Morrison, On K3 surfaces with large Picard number, Invent. Math., 75 (1984), 105–121.
15. M. Miyanishi and D.-Q. Zhang, Gorenstein log del Pezzo surfaces of rank one, I, II, J. Algebra, 118 (1988), 63-84.
16. M. Miyanishi and D.-Q. Zhang, Gorenstein log del Pezzo surfaces of rank one, I, II, J. Algebra, 156 (1993), 183–193.
17. V.V. Nikulin, Discrete reflections groups in Lobachevsky spaces and algebraic surfaces, In: Proc. Internal. Congr. Math. (Berkeley, Calif. 1986), Vol. 1, Amer. Math. Soc. Providence, R.I. 1987, pp. 654–671.
18. V.V. Nikulin, Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections, J. Soviet Math., 22 (1983), no. 4.
19. V.V. Nikulin, Del Pezzo surfaces with log-terminal singularities. I, II, III, Math. USSR Sbornik, 66 (1990), 231-248.
20. V.V. Nikulin, Del Pezzo surfaces with log-terminal singularities. I, II, III, Math. USSR-Izv., 33 (1989), 355-372.
21. V.V. Nikulin, Del Pezzo surfaces with log-terminal singularities. I, II, III, Math. USSR-Izv., 35 (1990), 657–675.
22. K. Oguiso and D.-Q. Zhang, On the most extremal log Enriques surfaces, I, II; Amer. J. Math., 118 (1996), 1277-1297.
23. K. Oguiso and D.-Q. Zhang, On the most extremal log Enriques surfaces, I, II; Tohoku Math. J., 50 (1998), to appear.
24. U. Persson, Configurations of Kodaira fibers on rational elliptic surfaces, Math. Z., 205 (1990), 1–47.
25. M. Reid, Campedelli versus Godeaux, In: Problems in the theory of surfaces and their classification, Trento, October 1988, (F. Catanese et al. eds.), Academic Press (1991), pp. 309–365.
26. F. Sakai, Anticanonical models of rational surfaces, Math. Ann., 269 (1984), 389–410.
27. T. Shioda and H. Inose, On singular K3 surfaces, in: Complex analysis and algebraic geometry, Iwanami Shoten and Cambridge University Press (1977), 119–136.
28. H. Tokunaga and H. Yoshihara, Degree of irrationality of Abelian surfaces, J. Algebra, 174 (1995), 1111–1121.
29. E.B. Vinberg, The two most algebraic K3 surfaces, Math.Ann., 265 (1983), 1–21.
30. D.-Q. Zhang, Logarithmic del Pezzo surfaces with rational double and triple singular points, Tohoku Math. J., 41 (1989), 399–452.
31. D.-Q. Zhang, Logarithmic Enriques surfaces, I, II, J. Math. Kyoto Univ., 31 (1991), 419-466.
32. D.-Q. Zhang, Logarithmic Enriques surfaces, I, II, J. Math. Kyoto Univ., 33 (1993), 357–397.
33. D.-Q. Zhang, Algebraic surfaces with nef and big anti-canonical divisor, Math. Proc. Cambridge Philos. Soc., 117 (1995), 161–163.
34. D.-Q. Zhang, Algebraic surfaces with log canonical singularities and the fundamental groups of their smooth parts, Trans. Amer. Math. Soc., 348 (1996), 4175–4184.
35. D.-Q. Zhang, Normal algebraic surfaces with trivial bicanonical divisor, J. Algebra, 186 (1996), 970–989.