Lifting of coefficients for Chow motives of quadrics

TL;DR

This paper proves a bijection between Chow motives of smooth projective quadrics with integral coefficients and those with coefficients modulo 2, revealing a fundamental relationship in algebraic geometry.

Contribution

It establishes a precise correspondence between integral and mod 2 Chow motives for smooth projective quadrics, enhancing understanding of their structure.

Findings

Bijection between integral and mod 2 Chow motives for quadrics

Natural functor induces isomorphism classes correspondence

Advances in understanding motives of quadrics

Abstract

We prove that the natural functor from the category of Chow motives of smooth projective quadrics with integral coefficients to the category with coefficients modulo 2 induces a bijection on the isomorphism classes of objects.