Holomorphic Gromov's partial order
Differential Geometry
2021-01-07 v3
Abstract
As in [5], we study holomorphic maps of positive degree between compact complex manifolds, and prove that any holomorphic map of degree one from a compact complex manifold to itself is biholomorphic. This conclusion confirms that under a mild restriction the holomorphic Gromov relation ">_" is indeed a partial order.
Cite
@article{arxiv.1610.07150,
title = {Holomorphic Gromov's partial order},
author = {Lingxu Meng},
journal= {arXiv preprint arXiv:1610.07150},
year = {2021}
}
Comments
10 pages