Birational invariance of the Chow-Witt group of zero-cycles

TL;DR

This paper proves that the Chow-Witt group of zero-cycles remains unchanged under birational transformations for smooth proper schemes over a field, highlighting its invariance property.

Contribution

It establishes the birational invariance of the Chow-Witt group of zero-cycles for smooth proper schemes, a new result in algebraic geometry.

Findings

Chow-Witt group is a birational invariant

Invariance holds for smooth proper schemes

Advances understanding of algebraic cycles

Abstract

We prove that the Chow-Witt group of zero-cycles is a birational invariant of smooth proper schemes over a base field.