Isomorphism classes and stably isomorphisms of double Danielewski varieties

TL;DR

This paper investigates the classification of double Danielewski varieties, demonstrating they serve as counterexamples to the Cancellation Problem by analyzing their isomorphism and stable isomorphism classes.

Contribution

It provides new insights into the structure of double Danielewski varieties and their role as counterexamples in the context of the Cancellation Problem.

Findings

Double Danielewski varieties are counterexamples to the Cancellation Problem.

The paper characterizes isomorphism and stable isomorphism classes of these varieties.

Results contribute to understanding the limitations of the Cancellation Property.

Abstract

The interest in Danielewski varieties arose from the study of the Cancellation Problem. In this paper, we study the isomorphism classes and stably isomorphisms of double Danielewski varieties, and show that they are counterexamples of the Cancellation Problem.