On the termination of flips for log canonical generalized pairs

Abstract

We prove the termination of flips for 4-dimensional pseudo-effective 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 pseudo-effective NQC log canonical generalized pairs which admit NQC weak Zariski decompositions follows from the termination of flips in lower dimensions.

v2: minor modifications; exposition slightly changed, following the referees' comments; to appear in Acta Math. Sin. Engl. Ser

References in corpus (1)

• Termination of (many) 4-dimensional log flips

Cited by in corpus (3)

• Remarks on the existence of minimal models of log canonical generalized pairs
• On termination of flips and exceptionally non-canonical singularities
• Mori Fibrations in Mixed Characteristic