2001-10-05Buch DOI: 10.18452/2639
Abelian approach to modular forms of neat 2-ball lattices
In previous papers [HoEis], [Ho2000] we found neat Picard modular surfaces with abelian minimal model and, conversely, a divisor criterion on abelian surfaces A for such a situation. For the corresponding ball lattices Gamma we prove dimension formulas for modular forms depending only on the intersection graph of the image on A of the compactification divisor of the Gamma-quotient surface.
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