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.
Haution, O. (2010). Lifting of Coefficients for Chow Motives of Quadrics. In J.L. Colliot-Thélène, S. Garibaldi, R. Sujatha, V. Suresh (a cura di), Quadratic Forms, Linear Algebraic Groups, and Cohomology (pp. 239-247). Springer Cham [10.1007/978-1-4419-6211-9_14].
Lifting of Coefficients for Chow Motives of Quadrics
Haution, O
2010
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.
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