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

TL;DR

This paper advances the understanding of lc and dlt pairs polarized by nef and log big divisors by establishing minimal model theory, effectivity of Iitaka fibrations, and boundedness results.

Contribution

It proves the minimal model theory for projective lc pairs with nef and log big divisors and demonstrates the effectivity of Iitaka fibrations for these pairs.

Findings

Established minimal model theory for lc pairs with nef and log big divisors.

Proved the effectivity of Iitaka fibrations for polarized lc and dlt pairs.

Derived boundedness results for dlt pairs polarized by nef and log big divisors.

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.