Geodesic
Holomorphic differential forms of higher degree on Kuga's modular varieties
Sbornik. Mathematics, Tome 30 (1976) no. 1, pp. 119-142 
V. V. Shokurov. Holomorphic differential forms of higher degree on Kuga's modular varieties. Sbornik. Mathematics, Tome 30 (1976) no. 1, pp. 119-142. http://geodesic.mathdoc.fr/item/SM_1976_30_1_a6/
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     title = {Holomorphic differential forms of higher degree on {Kuga's} modular varieties},
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     url = {http://geodesic.mathdoc.fr/item/SM_1976_30_1_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper a canonical isomorphism between the space of cusp forms $S_{w+2}(\Gamma)$ of weight $w+2>0$ with respect to the modular group $\Gamma$ and the space of holomorphic differential forms of higher degree on Kuga's modular variety $B_\Gamma^w$ is constructed. Bibliography: 6 titles.

[1] M. Artin, “Nekotorye chislennye kriterii styagivaemosti krivykh na algebraicheskikh poverkhnostyakh”, Matematika, 9:3 (1965), 3–14 | MR

[2] H. Laufer, “On rational singularities”, Amer. J. Math., 94:2 (1972), 597–608 | DOI | MR | Zbl

[3] K. Kodaira, “On compact analytic surfaces, II”, Ann. Math., 77 (1963), 563–626 | DOI | MR | Zbl

[4] G. Shimura, Vvedenie v arifmeticheskuyu teoriyu avtomorfnykh funktsii, izd-vo «Mir», Moskva, 1973 | MR

[5] T. Shioda, “On elliptic modular surfaces”, J. Math. Soc. Japan, 24:1 (1972), 20–59 | MR | Zbl

[6] V. V. Shokurov, “Periody parabolicheskikh form i mnogoobraziya Kugi”, Uspekhi matem. nauk, XXX:3 (183) (1975), 183–184