Semi-ampleness of NQC generalized log canonical pairs

Abstract

We establish a Kollár-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.

26 pages. Final version. Title and abstract changed as suggested by the referee

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