Resumen de Green currents for modular cycles in arithmetic quotients of complex hyperballs

Masao Tsuzuki

• We obtain a Green current in the sense of Gillet¿Soulé on an arithmetic quotient of a complex hyperball for the modular cycle stemming from a complex subhyperball of codimension greater than one, generalizing the classical construction of the automorphic Green function for the modular curves.