Adjoint $(1,1)$-classes on threefolds

TL;DR

This paper addresses a specific question about the properties of certain transcendental (1,1)-classes on three-dimensional algebraic varieties, providing new insights into their geometric structure.

Contribution

It offers a resolution to a question posed by Filip and Tosatti regarding a basepoint-free theorem for transcendental (1,1)-classes on threefolds.

Findings

Proves a basepoint-free theorem for transcendental (1,1)-classes on threefolds.

Clarifies the structure of these classes in the context of algebraic geometry.

Provides new tools for understanding transcendental classes on complex threefolds.

Abstract

We answer a question of Filip and Tosatti concerning a basepoint-free theorem for transcendental $(1,1)$-classes on threefolds.