Varieties with $P_2(X)=2$ and $q(X)=\dim X$

TL;DR

This paper classifies all smooth projective complex varieties where the second plurigenus is 2 and the irregularity equals the dimension, providing a comprehensive understanding of their structure.

Contribution

It offers a complete classification of varieties with specified invariants, advancing the understanding of their geometric properties.

Findings

Complete classification of varieties with $P_2(X)=2$ and $q(X)= ext{dim}(X)$

Characterization of their geometric structure

Clarification of the relationship between invariants

Abstract

We give a complete description of all smooth projective complex varieties with $P_2(X)=2$ and $q(X)=\dim(X)$.