A very general sextic double solid is not stably rational

TL;DR

This paper proves that a very general sextic double solid, a specific type of algebraic variety, is not stably rational, contributing to the understanding of rationality properties in algebraic geometry.

Contribution

It establishes the non-stable rationality of very general sextic double solids, a significant advancement in the classification of algebraic varieties.

Findings

Double coverings of P^3 branched along a sextic are not stably rational.

The result applies to very general sextic surfaces, indicating a broad class of such varieties.

Advances the understanding of rationality in algebraic geometry.

Abstract

We prove that a double covering of P^3 branched along a very general sextic surface is not stably rational.