Basepoint-free theorem of Reid--Fukuda type for quasi-log schemes

TL;DR

This paper introduces new operations for quasi-log structures and proves a Reid--Fukuda type basepoint-free theorem for quasi-log schemes, advancing the understanding of their geometric properties.

Contribution

It presents novel operations for quasi-log structures and establishes a new basepoint-free theorem for quasi-log schemes, extending previous results in algebraic geometry.

Findings

New operations for quasi-log structures introduced

Proved a Reid--Fukuda type basepoint-free theorem for quasi-log schemes

Enhanced understanding of the geometric properties of quasi-log schemes

Abstract

We introduce various new operations for quasi-log structures. Then we prove the basepoint-free theorem of Reid--Fukuda type for quasi-log schemes as an application.