The Fujiki class and positive degree maps
classification
🧮 math.GT
math.AGmath.CV
keywords
classfujikibiholomorphismcertaincohomologiescomplex-analyticconditiondegree
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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.
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