**Question 1:** <A HREF="https://books.google.nl/books?id=Wa16CwAAQBAJ&pg=PA18">Height pairing between algebraic cycles</A>, by A.A. Beilinson (1987), with reference to an independent work by S. Bloch, <A HREF="https://projecteuclid.org/euclid.dmj/1077304437">Algebraic cycles and values of L-functions II</A> (1985).