The class of the affine line is a zero divisor in the Grothendieck ring: an improvement

TL;DR

This paper improves a previous result by showing that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties, refining the existing formula.

Contribution

The authors remove a factor from Borisov's formula, providing a more precise statement about the zero divisor property.

Findings

The class of the affine line is a zero divisor in the Grothendieck ring.

The improved formula clarifies the algebraic structure of the Grothendieck ring.

The result refines previous work by Borisov on algebraic varieties.

Abstract

Lev A. Borisov has shown that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties over complex numbers. We improve the final formula by removing a factor.