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Complex geodesics of the minimal ball in n

Peter Pflug, El Hassan Youssfi (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this note we give a characterization of the complex geodesics of the minimal ball in n . This answers a question posed by Jarnicki and Pflug (cf. [JP], Example 8.3.10)

Complex Hyperbolic Surfaces of Abelian Type

Holzapfel, R. (2004)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07.We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ball. We characterize abelian surfaces which have a birational transform of hyperbolic type by the existence of a reduced divisor with only elliptic curve components and maximal singularity rate (equal to 4). We discover a Picard modular surface of...

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