\BOOKMARK [1][-]{section.1}{1. Introduction}{} \BOOKMARK [1][-]{section.2}{2. Chow groups of quadrics}{} \BOOKMARK [1][-]{section.3}{3. Lifting of coefficients}{} \BOOKMARK [1][-]{section.4}{4. Surjectivity in main Theorem }{} \BOOKMARK [1][-]{section.5}{5. Injectivity in main Theorem}{} \BOOKMARK [1][-]{section*.2}{References}{}