Rigidity in the intersection of varieties does not imply rigidity in the intersecting varieties

TL;DR

This paper investigates the relationship between rigidity properties of intersecting algebraic varieties, but it was withdrawn due to a critical error in an example, leaving the main question unresolved.

Contribution

The paper aimed to clarify whether rigidity in the intersection implies rigidity in the original varieties, but it was withdrawn before completing this analysis.

Findings

The paper was withdrawn due to an error in the example provided.

No definitive conclusions were reached or published.

The main hypothesis remains unverified due to the withdrawal.

Abstract

This paper has been withdrawn by the author due to a crucial error in example.