The complex Monge-Ampère equation on compact Hermitian manifolds

  • Tosatti V
  • Weinkove B
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Abstract

We show that, up to scaling, the complex Monge-Ampère equation on compact Hermitian manifolds always admits a smooth solution.

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Tosatti, V., & Weinkove, B. (2010). The complex Monge-Ampère equation on compact Hermitian manifolds. Journal of the American Mathematical Society, 23(4), 1187–1195. https://doi.org/10.1090/s0894-0347-2010-00673-x

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