Integral elements in K-theory and products of modular curves

@inproceedings{Scholl2000IntegralEI,
  title={Integral elements in K-theory and products of modular curves},
  author={Anthony J. Scholl},
  year={2000}
}
This paper has two aims. The primary one is to clarify the relation between results of Beilinson [1] and Flach [7]. We begin by briefly recalling the relevant parts of their papers. Suppose S is a connected smooth projective surface over Q. Beilinson’s conjectures relate the motivic cohomology groups H i M(S,Q(n)) = K (n) 2n−i(S) of S and the L-function of the motive h(S) at s = n. In what follows we will only be concerned with the motive h(S) and the “near-central” point s = 2. In this case… CONTINUE READING