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arXiv · 1610.07150

Holomorphic Gromov's partial order

Lingxu Meng
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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.

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Lingxu Meng. 2016-10-23. Holomorphic Gromov's partial order. https://doi.org/10.1007/s12220-017-9917-x

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