Abstract
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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Scholl, A.J. (2000). Integral Elements in K-Theory and Products of Modular Curves. In: Gordon, B.B., Lewis, J.D., Müller-Stach, S., Saito, S., Yui, N. (eds) The Arithmetic and Geometry of Algebraic Cycles. NATO Science Series, vol 548. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4098-0_17
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DOI: https://doi.org/10.1007/978-94-011-4098-0_17
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