On the tetracanonical map of varieties of general type and maximal Albanese dimension

TL;DR

This paper proves that for varieties of general type with maximal Albanese dimension, the 4-canonical map is birational, advancing understanding of their geometric properties.

Contribution

It establishes the birationality of the 4-canonical map for a broad class of varieties, providing new insights into their structure.

Findings

The 4-canonical map is birational for varieties of general type with maximal Albanese dimension.

This result extends previous knowledge about canonical maps in algebraic geometry.

The proof involves novel techniques in the study of pluricanonical systems.

Abstract

We prove the birationality of the 4-canonical map of varieties of general type and maximal Albanese dimension