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A note on complex-hyperbolic Kleinian groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dey, Subhadip Kapovich, Michael |
| Copyright Year | 2020 |
| Abstract | Author(s): Dey, Subhadip; Kapovich, Michael | Abstract: Let $\Gamma$ be a discrete group of isometries acting on the complex hyperbolic $n$-space $\mathbb{H}^n_\mathbb{C}$. In this note, we prove that if $\Gamma$ is convex-cocompact, torsion-free, and the critical exponent $\delta(\Gamma)$ is strictly lesser than $2$, then the complex manifold $\mathbb{H}^n_\mathbb{C}/\Gamma$ is Stein. We also discuss several related conjectures. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://escholarship.org/content/qt0wf791r7/qt0wf791r7.pdf?t=q4gb8s |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/2001.04012 |
| Alternate Webpage(s) | https://arxiv.org/pdf/2001.04012v2.pdf |
| Alternate Webpage(s) | https://www.math.ucdavis.edu/~sdey/papers/ch-stein.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
