# Dominant classes of projective varieties

## TL;DR

This paper discusses a conjecture suggesting that any algebraic variety can be transformed into a structure with a sequence of smooth fibrations of relative dimension one, aiming for a uniformization-type classification.

## Contribution

It provides evidence supporting a conjecture that all algebraic varieties can be modified to admit a tower of smooth fibrations of relative dimension one.

## Key findings

- Support for the uniformization-type conjecture
- Evidence that varieties can be altered into fibrations
- Insights into the structure of algebraic varieties

## Abstract

We give evidence for a uniformization-type conjecture, that any algebraic variety can be altered into a variety endowed with a tower of smooth fibrations of relative dimension one.