Families of Singular Chern-Ricci Flat Metrics

Chung-Ming Pan

doi:10.1007/s12220-022-01094-9

Families of Singular Chern-Ricci Flat Metrics

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Families of Singular Chern-Ricci Flat Metrics

Chung-Ming Pan

The Journal of geometric analysis, 卷.33(2), 頁.66

01/02/2023

DOI: https://doi.org/10.1007/s12220-022-01094-9

Web of Science ID: WOS:000904591200026

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Science & Technology

Mathematics

Physical Sciences

We prove uniform a priori estimates for degenerate complex Monge-Ampere 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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題名: Families of Singular Chern-Ricci Flat Metrics
創作者：: Chung-Ming Pan
出版者: Springer Nature
總頁數: 32
補助款備註: EUR MINT project: ANR-18-EURE-0023 Agence Nationale de la Recherche (ANR): ANR-18-EURE-0023
AcknowledgementsThe author is grateful to his thesis advisors Vincent Guedj and Henri Guenancia for their constant supports, suggestions, and encouragements. The author thanks Ahmed Zeriahi for many helpful discussions. The author would like to thank the anonymous referee for useful suggestions which helped to improve the exposition. The author is partially supported by ANR-11-LABX-0040 (research project HERMETIC) and EUR MINT project ANR-18-EURE-0023.
學術資源類型: 期刊文章
出版日期: 01/02/2023
出版資訊: The Journal of geometric analysis, 卷.33(2), 頁.66
語言: 英語

Families of Singular Chern-Ricci Flat Metrics

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