# Special cubic birational transformations of projective spaces

## TL;DR

This paper extends the classification of special Cremona transformations with low-dimensional base loci to cases where the target space is a factorial complete intersection, broadening understanding of birational transformations in algebraic geometry.

## Contribution

It introduces a classification of special cubic birational transformations of projective spaces with factorial complete intersection targets, expanding previous results.

## Key findings

- Classification of special cubic birational transformations with factorial complete intersection targets
- Extension of previous classifications to new geometric settings
- New examples and structure results for Cremona transformations

## Abstract

We extend our classification of special Cremona transformations whose base locus has dimension at most three to the case when the target space is replaced by a (locally) factorial complete intersection.