PreprintarXiv licencearXiv
Holomorphic expanding maps
Abstract
We prove that every holomorphic expanding map on a compact connected complex manifold is biholomorphically conjugate to an affine expanding endomorphism of a complex infra-nilmanifold.
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BibTeX
@misc{zhang2026holomorphic,
title = {{Holomorphic expanding maps}},
author = {Jiesong Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01525},
eprint = {2610.01525},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01525},
}
RIS
TY - UNPB
TI - Holomorphic expanding maps
AU - Jiesong Zhang
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01525
UR - https://arxiv.org/abs/2610.01525
AB - We prove that every holomorphic expanding map on a compact connected complex manifold is biholomorphically conjugate to an affine expanding endomorphism of a complex infra-nilmanifold.
ER -