Semi-ampleness of NQC generalized log canonical pairs
Jihao Liu, Lingyao Xie
TL;DR
This paper develops a gluing theory for NQC generalized log canonical pairs and proves their semi-ampleness, leading to the existence of flips and demonstrating that these singularities are Du Bois.
Contribution
It introduces a Kollár-type gluing theory for NQC generalized pairs and establishes semi-ampleness results, advancing the understanding of their geometric properties.
Findings
Proves semi-ampleness of NQC generalized pairs.
Establishes the existence of flips for these pairs.
Shows that NQC generalized log canonical singularities are Du Bois.
Abstract
We establish a Koll\'ar-type gluing theory for NQC generalized log canonical pairs and use it to prove semi-ampleness results of NQC generalized pairs. As consequences, we prove the existence of flips for any NQC generalized log canonical pair, and show that NQC generalized log canonical singularities are Du Bois.
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Taxonomy
TopicsFuzzy Systems and Optimization