The Fujiki class and positive degree maps

Author:

Bharali Gautam,Biswas Indranil,Mj Mahan

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Reference12 articles.

1. Rigidity of holomorphic maps between fiber spaces;Bharali;Internat J Math,2014

2. Stabilité de la classe des variétés Kähleriennes par certaines morphismes propres;Varouchas;Invent Math,1984

3. Kähler solvmanifolds;Arapura;Int Math Res Not,2004

4. Kähler spaces and proper open morphisms;Varouchas;Math Ann,1989

5. Torification and factorization of birational maps;Abramovich;Jour Amer Math Soc,2002

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