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Mathematics > Algebraic Geometry

arXiv:1805.01600 (math)
[Submitted on 4 May 2018 (v1), last revised 25 Mar 2020 (this version, v3)]

Title:On weak Zariski decompositions and termination of flips

Authors:Christopher D. Hacon, Joaquín Moraga
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Abstract:We prove that termination of lower dimensional flips for generalized klt pairs implies termination of flips for log canonical generalized pairs with a weak Zariski decomposition. Moreover, we prove that the existence of weak Zariski decompositions for pseudo-effective generalized klt pairs implies the existence of minimal models for such pairs.
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1805.01600 [math.AG]
  (or arXiv:1805.01600v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1805.01600

Submission history

From: Christopher D. Hacon [view email]
[v1] Fri, 4 May 2018 03:53:42 UTC (16 KB)
[v2] Thu, 16 Aug 2018 22:59:11 UTC (20 KB)
[v3] Wed, 25 Mar 2020 16:39:55 UTC (19 KB)
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