Families of singular Chern-Ricci flat metrics
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Publication:6385907
DOI10.1007/S12220-022-01094-9zbMath1509.14024arXiv2112.08993MaRDI QIDQ6385907
Publication date: 16 December 2021
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.
Calabi-Yau theory (complex-analytic aspects) (32Q25) Fibrations, degenerations in algebraic geometry (14D06) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)
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