We show that a map between complex-analytic manifolds, at least one ofwhich 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.
@article{bwmeta1.element.doi-10_1515_coma-2015-0002, author = {Gautam Bharali and Indranil Biswas and Mahan Mj}, title = {The Fujiki class and positive degree maps}, journal = {Complex Manifolds}, volume = {2}, year = {2015}, zbl = {1320.32023}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_coma-2015-0002} }
Gautam Bharali; Indranil Biswas; Mahan Mj. The Fujiki class and positive degree maps. Complex Manifolds, Tome 2 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_coma-2015-0002/
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