Families of singular Chern-Ricci flat metrics

Fuente: arXiv
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Main Author: Pan, Chung-Ming
Format: Preprint
Published: 2021
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author Pan, Chung-Ming
author_facet Pan, Chung-Ming
contents We prove uniform a priori estimates for degenerate complex Monge-Ampère 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.
format Preprint
id arxiv_https___arxiv_org_abs_2112_08993
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Families of singular Chern-Ricci flat metrics
Pan, Chung-Ming
Complex Variables
Differential Geometry
We prove uniform a priori estimates for degenerate complex Monge-Ampère 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.
title Families of singular Chern-Ricci flat metrics
topic Complex Variables
Differential Geometry
url https://arxiv.org/abs/2112.08993