PreprintCC BY 4.0arXiv
The topological Ax--Lindemann theorem for the complex hyperbolic space
Abstract
In the case of the complex hyperbolic space, we establish a version of the hyperbolic Ax--Lindemann Theorem for the topological closure rather than the Zariski closure. Our approach combines classical differential geometry with homogeneous dynamics.
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BibTeX
@misc{labourie2026topological,
title = {{The topological Ax--Lindemann theorem for the complex hyperbolic space}},
author = {François Labourie and Shahar Mozes},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06440},
eprint = {2609.06440},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06440},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The topological Ax--Lindemann theorem for the complex hyperbolic space
AU - François Labourie
AU - Shahar Mozes
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.06440
UR - https://arxiv.org/abs/2609.06440
AB - In the case of the complex hyperbolic space, we establish a version of the hyperbolic Ax--Lindemann Theorem for the topological closure rather than the Zariski closure. Our approach combines classical differential geometry with homogeneous dynamics.
ER -