Integral Elements in K-Theory and Products of Modular Curves

  title={Integral Elements in K-Theory and Products of Modular Curves},
  author={Anthony J. Scholl},
  journal={arXiv: Number Theory},
  • A. Scholl
  • Published 2000
  • Mathematics
  • arXiv: Number Theory
In the first part of this paper we use de Jong’s method of alterations to contruct unconditionally ‘integral’ subspaces of motivic cohomology (with rational coefficients) for Chow motives over local and global fields. In the second part, we investigate the integrality of the elements constructed by Beilinson in the motivic cohomology of the product of two modular curves, completing the discussion in section 6 of his paper [1]. 
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Opérations En K-Théorie Algébrique
  • C. Soulé
  • Mathematics
    Canadian Journal of Mathematics
  • 1985
C'est pour étendre le théorème de Riemann-Roch à un morphisme projectif arbitraire que Grothendieck a introduit le groupe K(X) (noté aujourd'hui K 0(X)), construit à l'aide des -modules localement