We prove the termination of flips for 4-dimensional pseudoeffective NQC log canonical generalized pairs. As main ingredients, we verify the termination of flips for 3-dimensional NQC log canonical generalized pairs, and show that the termination of flips for pseudoeffective NQC log canonical generalized pairs which admit NQC weak Zariski decompositions follows from the termination of flips in lower dimensions.2010 Mathematics Subject Classification: 14E30.
We prove the special termination for log canonical pairs and its generalisation in the context of generalised pairs. Contents 1. Introduction 1 2. Preliminaries 2 3. Lifting a sequence of quasi-flips 11 4. Special termination for pairs 13 5. Special termination for g-pairs 15 References 17 Fachrichtung Mathematik, Campus, Gebäude E2.4,
We prove that if (X, ∆) is a threefold pair with mild singularities such that −(KX + ∆) is nef, then the numerical class ofContents 2020 Mathematics Subject Classification: 14E30.
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