On~cuspidal divisors on the modular varieties of elliptic modules
Izvestiya. Mathematics , Tome 30 (1988) no. 3, pp. 533-547.

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Elliptic modules of arbitrary rank are considered over the polynomial ring $F_q[t]$. A compactification of the modular varieties that parametrizes such modules is constructed. A generalization of the Manin-Drinfel'd theorem on modular curves is proved: the difference of two adherent components of codimension 1 has finite order in the Picard group. Bibliography: 7 titles.
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M. M. Kapranov. On~cuspidal divisors on the modular varieties of elliptic modules. Izvestiya. Mathematics , Tome 30 (1988) no. 3, pp. 533-547. http://geodesic.mathdoc.fr/item/IM2_1988_30_3_a4/

[1] Leng S., Vvedenie v teoriyu modulyarnykh form, Mir, M., 1979 | MR

[2] Drinfeld V. G., “Ellipticheskie moduli”, Matem. sb., 94:4 (1974), 594–627 | MR

[3] Gekeler E.-U., “Moduläre Einheiten für Funktionenkörper”, J. Reine und Angew. Math., 348 (1984), 94–115 | MR | Zbl

[4] Goss D., “$\pi$-adic Eisenstein series for function fields”, Compositio Math., 41:1 (1981), 3–38 | MR

[5] Gerritzen L., van der Put M., Schottky groups and Mumford curves, Lecture Notes in Math., 817, 1980 | MR | Zbl

[6] Kubert D., Lang S., Modular units, Springer, Berlin, Heidelberg, New York, 1981 | MR | Zbl

[7] Stefǎnescu D., “On meromorphic formal power series”, Bull. Math. de la Soc. Sci. Math. de la R.S. de Roumanie, 27:2 (1983), 169–178 | MR | Zbl