On generalized minimal log discrepancy

Weichung Chen; Yoshinori Gongyo; Yusuke Nakamura

doi:10.2969/jmsj/90119011

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

On generalized minimal log discrepancy

Weichung Chen, Yoshinori Gongyo, Yusuke Nakamura

著者情報

キーワード: generalized pair, minimal log discrepancy, ACC conjecture, LSC conjecture

ジャーナル認証あり

2024 年 76 巻 2 号 p. 393-449

DOI https://doi.org/10.2969/jmsj/90119011

詳細

抄録

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.