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arXiv · 2106.06259

Singular Gauduchon metrics

Chung-Ming Pan
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Abstract

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.

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Chung-Ming Pan. 2021-06-11. Singular Gauduchon metrics. https://doi.org/10.1112/s0010437x22007618

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