On the existence of minimal models for log canonical pairs

Abstract

We show that minimal models of log canonical pairs exist, assuming the existence of minimal models of smooth varieties.

v3: minor changes; title changed; to appear in Publ. Res. Inst. Math. Sci

References in corpus (2)

• On Generalised Abundance, I
• On minimal model theory for log abundant lc pairs

Cited by in corpus (10)

• The Nonvanishing problem for varieties with nef anticanonical bundle
• Special MMP for log canonical generalised pairs
• Special termination for log canonical pairs
• Remarks on the existence of minimal models of log canonical generalized pairs
• On the termination of flips for log canonical generalized pairs
• Effective birationality for sub-pairs with real coefficients
• On semi-ampleness of the moduli part
• Moduli of $\mathbb{Q}$-Gorenstein pairs and applications
• Abundance for uniruled pairs which are not rationally connected
• On Nonvanishing for uniruled log canonical pairs