Some birationality criteria on 3-folds with $p_g>1$

TL;DR

This paper establishes criteria for when certain pluricanonical maps are birational on general type 3-folds with geometric genus at least 2, based on an extensive classification approach.

Contribution

It provides new birationality criteria for specific pluricanonical maps on 3-folds, advancing understanding of their birational properties.

Findings

Criteria for birationality of $_m$ for m=4,5,6,7 on 3-folds

Classification-based approach to determine birationality

Conditions involving geometric genus $p_g$ for birational maps

Abstract

We give some birationality criteria for $\phi_m$ (m=4,5,6,7) on general type 3-folds with $p_g\geq 2$ by means of an intensive classification.