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Article Dans Une Revue Compos.Math. Année : 2022

Singular Gauduchon metrics

Résumé

In 1977, Gauduchon proved that on every compact hermitian manifold $(X, \omega)$ there exists a conformally equivalent hermitian metric $\omega_{\mathrm{G}}$ which satisfies $\mathrm{dd}^c \omega_{\mathrm{G}}^{n-1} = 0$. In this note, we extend this result to irreducible compact singular hermitian varieties which admit a smoothing.

Dates et versions

hal-03268939 , version 1 (23-06-2021)

Identifiants

Citer

Chung-Ming Pan. Singular Gauduchon metrics. Compos.Math., 2022, 158 (6), pp.1314-1328. ⟨10.1112/S0010437X22007618⟩. ⟨hal-03268939⟩
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