Comment on: Pseudo-effectivity of the relative canonical divisor ... by Zsolt Patakfalvi

TL;DR

This paper presents an elementary method to establish the existence of ramified covers of algebraic varieties that are not uniruled, contributing to the understanding of their geometric properties.

Contribution

It introduces a straightforward approach to constructing non-uniruled ramified covers, expanding the toolkit for studying the geometry of algebraic varieties.

Findings

Existence of non-uniruled ramified covers demonstrated

Elementary approach simplifies previous methods

Implications for the classification of algebraic varieties

Abstract

We discuss an elementary approach to the existence of non-uniruled ramified covers of varieties.