@article{CM_1994__90_1_1_0, author = {Hulek, K. and Sankaran, G. K.}, title = {The {Kodaira} dimension of certain moduli spaces of abelian surfaces}, journal = {Compositio Mathematica}, pages = {1--35}, publisher = {Kluwer Academic Publishers}, volume = {90}, number = {1}, year = {1994}, mrnumber = {1266492}, zbl = {0799.14026}, language = {en}, url = {http://archive.numdam.org/item/CM_1994__90_1_1_0/} }
TY - JOUR AU - Hulek, K. AU - Sankaran, G. K. TI - The Kodaira dimension of certain moduli spaces of abelian surfaces JO - Compositio Mathematica PY - 1994 SP - 1 EP - 35 VL - 90 IS - 1 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1994__90_1_1_0/ LA - en ID - CM_1994__90_1_1_0 ER -
Hulek, K.; Sankaran, G. K. The Kodaira dimension of certain moduli spaces of abelian surfaces. Compositio Mathematica, Tome 90 (1994) no. 1, pp. 1-35. http://archive.numdam.org/item/CM_1994__90_1_1_0/
[Ba] Fourier-Jacobi Series. In: Proc. Symp. Pure Math. IX, AMS, Providence, R.I., (1966), 296-300. | MR | Zbl
:[BH] Projective models of Shioda modular surfaces. Manuscr. Math. 50 (1985), 73-132. | MR | Zbl
, :[EZ] The theory of Jacobi forms. Progress in Mathematics 55. Birkhäuser, Boston, Basel, Stuttgart 1985. | MR | Zbl
, :[F] Siegelsche Modulfunktionen. Grundlehren 254, Springer, Berlin 1983. | MR | Zbl
:[Fu] Intersection theory. Springer, Berlin 1984. | MR | Zbl
:[H] Algebraic geometry. Springer, New York, 1977. | MR | Zbl
:[Hir] Elliptische Differentialoperatoren auf Mannigfaltigkeiten. Gesammelte Werke Vol. 2, 583-608. Springer, Berlin, 1987. | MR
:[HM] A rank 2 vector bundle on P4 with 15,000 symmetries. Topology 12 (1973), 69-85. | MR | Zbl
, :[HKW1] Singularities of the moduli spaces of certain abelian surfaces. Compositio Math. 79 (1991), 231-253. | Numdam | MR | Zbl
, , :[HKW2] Moduli spaces of abelian surfaces: Compactification, degenerations and theta functions. de Gruyter, Berlin 1993. | MR | Zbl
, , :[HW] Bielliptic abelian surfaces. Math. Ann. 283 (1989), 411-429. | MR | Zbl
, :[K] A geometrical approach to the theory of Jacobi forms. Compositio Math. 79 (1991), 1-19. | Numdam | MR | Zbl
:[M1] Hirzebruch's proportionality theorem in the non-compact case. Inv. Math. 42 (1977), 239-272. | MR | Zbl
:[M2] On the Kodaira dimension of the Siegel modular variety. Algebraic Geometry-Open Problems, Proceedings Ravello 1982, 348-375 (C. Ciliberto et al., Eds) Springer Lecture Notes 997, Springer, Berlin, 1983. | MR | Zbl
:[O'G] On the Kodaira dimension of moduli spaces of abelian surfaces. Compositio Math. 72 (1989), 121-163. | Numdam | MR | Zbl
:[Sch] Elliptic modular functions. Grundlehren 203, Springer, Berlin, 1974. | MR | Zbl
:[Sh] Introduction to the arithmetic theory of automorphic functions. Publ. Math. Soc. Japan 11, Iwanami Shoten, Tokyo, and Princeton University Press, 1971. | MR | Zbl
:[Shi] On elliptic modular surfaces. J. Math. Soc. Japan 24 (1972), 20-59. | MR | Zbl
:[SC] Smooth compactification of locally symmetric varieties. Math. Sci. Press, Brookline, Mass., 1975. | MR | Zbl
, , , :[T] On the Kodaira dimension of the moduli spaces of abelian varieties. Inv. Math. 68 (1982), 425-439. | MR | Zbl
:[YPG] Young person's guide to canonical singularities. Proc. Symp. Pure Math. 46 (Algebraic Geometry Bowdoin 1985), 345-416 (1987). | MR | Zbl
: