Families of singular Chern-Ricci flat metrics

Published 16 Dec 2021 in math.CV and math.DG | (2112.08993v2)

Abstract: We prove uniform a priori estimates for degenerate complex Monge-Amp`ere equations on a family of hermitian varieties. This generalizes a theorem of Di Nezza-Guedj-Guenancia to hermitian contexts. The main result can be applied to study the uniform boundedness of Chern-Ricci flat potentials in conifold transitions.

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Authors (1)

Chung-Ming Pan

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