On cuspidal divisors on the modular varieties of elliptic modules

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.