On generalized minimal log discrepancy
Weichung Chen, Yoshinori Gongyo, Yusuke Nakamura
TL;DR
This paper explores the properties of minimal log discrepancies for generalized pairs, extending known results and discussing the theory of complements, with implications for the ACC and LSC conjectures.
Contribution
It extends existing results on ACC and LSC conjectures from usual pairs to generalized pairs and discusses the theory of complements in this broader context.
Findings
Some known results for usual pairs are valid for generalized pairs.
The paper discusses the theory of complements for generalized pairs.
Implications for the ACC and LSC conjectures are analyzed.
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.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematical Approximation and Integration