Green currents for modular cycles in arithmetic quotients of complex hyperballs

• Autores: Masao Tsuzuki
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 227, Nº 2, 2006, págs. 311-360
• Idioma: inglés
• DOI: 10.2140/pjm.2006.227.311
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• Resumen

  • 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.