The Fujiki class and positive degree maps
Geometric Topology
2015-08-28 v2 Algebraic Geometry
Complex Variables
Abstract
We show that a map between complex-analytic manifolds, at least one of which is in the Fujiki class, is a biholomorphism under a natural condition on the second cohomologies. We use this to establish that, with mild restrictions, a certain relation of "domination" introduced by Gromov is in fact a partial order.
Cite
@article{arxiv.1312.5655,
title = {The Fujiki class and positive degree maps},
author = {Gautam Bharali and Indranil Biswas and Mahan Mj},
journal= {arXiv preprint arXiv:1312.5655},
year = {2015}
}
Comments
6 pages; significantly restructured first & last sections; corrected statement of Result 3.4 (formerly Result 4.4); added references; to appear in Complex Manifolds