Abstract
We discuss the ACC conjecture and the LSC conjecture for minimal log discrepancies of generalized pairs. We prove that some known results on these two conjectures for usual pairs are still valid for generalized pairs. We also discuss the theory of complements for generalized pairs.
Funding Statement
The first author was supported by Japan-Taiwan exchange association as a student of the University of Tokyo, by the University of Tokyo as a project researcher, and by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2019-1614) when he was working at the Steklov International Mathematical Center. The second author was partially supported by JSPS KAKENHI No. 15H03611, 16H02141, 17H02831, 18H01108, and JPJSBP120219935. The third author is partially supported by JSPS KAKENHI No. 18K13384, 16H02141, 17H02831, 18H01108, and JPJSBP120219935.
Citation
Weichung CHEN. Yoshinori GONGYO. Yusuke NAKAMURA. "On generalized minimal log discrepancy." J. Math. Soc. Japan 76 (2) 393 - 449, April, 2024. https://doi.org/10.2969/jmsj/90119011
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