R.-P. Holzapfel
Picard-Einstein Metrics and Class Fields Connected with Apollonius Cycle
Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976)

MSC:

11G15 Complex multiplication and moduli of abelian varieties, See also {14K22}

11G18 Arithmetic aspects of modular and Shimura varieties, See also {14G35}

11H56 Automorphism groups of lattices

11R11 Quadratic extensions

14D05 Structure of families (Picard-Lefschetz, Picard-Fuchs theory, etc.)

14D22 Fine and coarse moduli spaces

14E20 Coverings, fundamental group (mappings)

14G35 Modular and Shimura varieties, See also {11F41, 11F46,

14H10 Families, moduli (algebraic)

14H30 Coverings, fundamental group, See also {14E20, 14F35}

14J10 Families, moduli, classification: algebraic theory

20C12 Integral representations of infinite groups

20H05 Unimodular groups, congruence subgroups, See also {11F06, 19B37, 22E40, 51F20}

32M15 Hermitian symmetric spaces, bounded symmetric domains, See also {22E10, 22E40, 53C35, 57T15}

Keywords: algebraic curves, moduli space, Shimura surface, Picard modular group, arithmetic group, Gauss lattice, Kaehler-Einstein metric, negative constant curvature, unit ball