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On Picard Modular Forms
Author(s) -
Runge Bernhard
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19971840112
Subject(s) - mathematics , modular form , pure mathematics , automorphism , modular design , abelian group , order (exchange) , moduli , hermitian matrix , algebra over a field , quantum mechanics , computer science , economics , operating system , physics , finance
We study moduli spaces of principally polarized abelian varieties with an automorphism of finite order. After some examples (e. g. hermitian modular forms) we compute the ring of Picard modular forms in the case considered by Picard.