Maps between complex hyperbolic surfaces (Q1397901)
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scientific article; zbMATH DE number 1960047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maps between complex hyperbolic surfaces |
scientific article; zbMATH DE number 1960047 |
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Maps between complex hyperbolic surfaces (English)
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6 August 2003
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The author studies examples of holomorphic mappings between complex hyperbolic surfaces that are not covering mappings. We note that, in this paper, a complex hyperbolic surface means a compact quotient of the unit ball in \(\mathbb{C}^2\). Those mappings induce homomorphisms on the fundamental groups that have infinite kernel. Hence those mappings give examples of the nonstandard homomorphisms found by Mostow, which is concerning super-rigidity. The author also studies singularities of those mappings.
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Ball quotients
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holomorphic maps
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homomorphisms of discrete groups
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complex hyperbolic surfaces
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