On the termination of flips for log canonical generalized pairs

Guodu Chen; Nikolaos Tsakanikas

On the termination of flips for log canonical generalized pairs

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arxiv 2011.02236 v2 pith:4T4DPXQN submitted 2020-11-04 math.AG

Guodu Chen , Nikolaos Tsakanikas This is my paper · ORCID

classification math.AG

keywords flipsterminationcanonicalgeneralizedpairsdimensionalpseudo-effectiveadmit

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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.

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Volumes of integral divisors on epsilon-lc Calabi-Yau pairs lie in a fixed discrete set, settling Birkar's boundedness conjecture for polarized log Calabi-Yau pairs.

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