Singular Gauduchon metrics

Published 11 Jun 2021 in math.DG, math.AP, and math.CV | (2106.06259v2)

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

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