Gauduchon metrics with prescribed volume form

@inproceedings{Szekelyhidi2017GauduchonMW,
  title={Gauduchon metrics with prescribed volume form},
  author={G'abor Sz'ekelyhidi and Valentino Tosatti and Ben Weinkove},
  year={2017}
}
We prove that on any compact complex manifold one can find Gauduchon metrics with prescribed volume form. This is equivalent to prescribing the Chern-Ricci curvature of the metrics, and thus solves a conjecture of Gauduchon from 1984. 

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