@article{CM_1993__89_3_251_0, author = {Kond\=o, Shigeyuki}, title = {On the Kodaira dimension of the moduli space of $K3$ surfaces}, journal = {Compositio Mathematica}, volume = {89}, year = {1993}, pages = {251-299}, mrnumber = {1255698}, zbl = {0808.14026}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1993__89_3_251_0} }
Kondō, Shigeyuki. On the Kodaira dimension of the moduli space of $K3$ surfaces. Compositio Mathematica, Tome 89 (1993) pp. 251-299. http://gdmltest.u-ga.fr/item/CM_1993__89_3_251_0/
[1] Smooth compactification of locally symmetric varieties, Math. Sci. Press (1975). | MR 457437 | Zbl 0334.14007
, , , and :[2] Index of elliptic operators III, Ann. Math. 87 (1968) 546-604. | MR 236952 | Zbl 0164.24301
and :[3] Fourier-Jacobi series, Proc. Symp. Pure Math. 9, "Algebraic Groups and Discontinuous Subgroups", Amer. Math. Soc., Providence (1966) 296-300. | MR 219755 | Zbl 0164.38501
Jr.:[4] Compactification of arithmetic quotient of bounded domains, Ann. Math. 84 (1966) 442-528. | MR 216035 | Zbl 0154.08602
Jr. and :[5] La géométrie des groupes classiques (2nd ed.), Springer 1963. | MR 158011 | Zbl 0111.03102
:[6] Siegelsche Modulfunktionen, Springer (1983). | MR 871067 | Zbl 0498.10016
:[7] On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982) 23-86. | MR 664324 | Zbl 0506.14016
and :[8] Theta function, Springer (1972). | Zbl 0251.14016
:[9] Toroidal embeddings I, Lect. Notes in Math., Vol. 339 (1972) Springer. | MR 335518 | Zbl 0271.14017
, , , Saint- :[10] Epimorphicity of the period mapping for surfaces of type K3 (in Russian), Usp. Math. Nauk. 32 (1977) 257-258. | MR 480528 | Zbl 0449.14008
:[11] Curves, K3 surfaces and Fano 3-folds of genus ≤ 10, in Algebraic Geometry and commutative algebra in Honor of M. Nagata, 357-377, Kinokuniya (1987). | Zbl 0701.14044
:[12] Hirzebruch proportionality principles in non-compact case, Invent. Math. 42 (1977) 239-272. | MR 471627 | Zbl 0365.14012
:[13] On the Kodaira dimension of the Siegel modular variety, Lect. Notes in Math., Vol. 997 (1983), 348-375, Springer. | MR 714757 | Zbl 0527.14036
:[14] Toroidal compactification of Siegel space, Lecture Notes in Math. Vol. 812 (1980), Springer. | MR 584625 | Zbl 0466.14011
:[15] Finite automorphism groups of Kähler surfaces of type K3, Proc. Moscow Math. Soc. 38 (1979) 75-137. | Zbl 0433.14024
:[16] Integral symmetric bilinear forms and some of their applications, Math. USSR Izv. 14 (1980) 103-166. | Zbl 0427.10014
:[17] Géométrie des domaines classiques et theorie des fonctions automorphes, Dunot, Paris (1966). | Zbl 0142.05101
:[18] A Torelli theorem for algebraic surfaces of type K3, Math. USSR Izv. 35 (1971) 530-572. | Zbl 0219.14021
and :[19] Algebraic structures of symmetric domains, Publ. Math. Soc. Japan,Vol. 14, Iwanami, Tokyo and Princeton Univ. Press, 1980. | MR 591460 | Zbl 0483.32017
:[20] On the compactification of moduli spaces for algebraic K3 surfaces, Memoirs of A.M.S., Vol. 70, No. 374 (1987). | MR 912636 | Zbl 0633.14019
:[21] A Course in Arithmetic, Springer (1973). | MR 344216 | Zbl 0256.12001
:[22] Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, Vol. 11, Iwanami, Tokyo and Princeton Univ. Press (1971). | MR 314766 | Zbl 0221.10029
:[23] On the Kodaira dimension of the moduli space of abelian varieties, Invent. Math. 68 (1982) 425-439. | MR 669424 | Zbl 0508.14038
: