A simple proof of the non-rationality of a general quartic double solid

TL;DR

This paper provides a straightforward proof that a general quartic double solid, a specific type of algebraic threefold, is not rational, contributing to the understanding of its geometric properties.

Contribution

It offers a simplified proof of the non-rationality of a general quartic double solid, enhancing existing mathematical techniques.

Findings

Confirmed non-rationality of general quartic double solids

Simplified proof method for algebraic geometry

Clarified geometric properties of quartic double covers

Abstract

The aim of this short note is to give a simple proof of the non-rationality of the double cover of the three-dimensional projective space branched over a sufficiently general quartic.