The Equivalence of Grayson and Friedlander-Suslin Spectral Sequences

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Podkopaev, Oleg;
(2013)
  • Subject: 19E08 | Mathematics - Algebraic Geometry | Mathematics - K-Theory and Homology
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Algebraic Topology

This thesis establishes the equivalence of Grayson and Friedlander-Suslin spectral sequences, that was previously only known for the respective E_2-terms. We develop the necessary techniques regarding K_0-presheaves of spectra, building on the work of M. Walker and cons... View more
  • References (5)

    Xi0i1...1...0...in−1 −−−→ Xi0i1...0...0...in−1 x x

    Xi0i1...1...1...in−1 −−−→ Xi0i1...0...1...in−1, [Qu73] D. Quillen, Higher Algebraic K-theory, Proceedings of the International Congress of Mathematicians, Vancouver 1974, vol. I, Canadian Mathematical Congress, 1975, pp. 171-176.

    [Su01] A. Suslin, On the Grayson spectral sequence, Tr. Mat. Inst. Steklova, 2003, Volume 241, Pages 218253

    [SV96] A. Suslin and V.Voevodsky, Singular Homology of Abstract Algebraic Varieties, Invent. Math. 123 (1996), 61-94.

    [SV98] A. Suslin and V.Voevodsky, Bloch-Kato Conjecture and Motivic Cohomology with Finite Coefficients, NATO Sci. Ser. C Math. Phys. Sci., vol. 548, 1998, pp. 117-189.

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