# The cubo-cubic transformation and K3 surfaces

## TL;DR

This paper identifies the Cremona transformation in Oguiso's example of quartic K3 surfaces as the classical cubo-cubic transformation, highlighting a specific geometric correspondence.

## Contribution

It reveals that the Cremona transformation in Oguiso's example is actually the classical cubo-cubic transformation, connecting specific K3 surfaces with classical birational geometry.

## Key findings

- The Cremona transformation in Oguiso's example is the classical cubo-cubic transformation.
- It demonstrates a link between K3 surfaces and classical birational transformations.
- The note clarifies the geometric nature of the transformation involved.

## Abstract

In this note we observe that the Cremona transformation in Oguiso's example of Cremona isomorphic but not projectively equivalent quartic K3 surfaces in three-dimensional projective space is the classical cubo-cubic transformation.