Iitaka fibrations for dlt pairs polarized by a nef and log big divisor

Abstract

We study lc pairs polarized by a nef and log big divisor. After proving the minimal model theory for projective lc pairs polarized by a nef and log big divisor, we prove the effectivity of the Iitaka fibrations and some boundedness results for dlt pairs polarized by a nef and log big divisor.

arXiv commentfinal version, only minor changes, to appear in Forum Math. Sigma

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Cited by in corpus (3)

• Remarks on the existence of minimal models of log canonical generalized pairs
• Minimal model program for normal pairs along log canonical locus
• A note on lc-trivial fibrations