Techniques of Localization in the Theory of Algebraic Cycles
نویسنده
چکیده
We extend the localization techniques of Bloch to simplicial spaces. As applications, we give an extension of Bloch’s localization theorem for the higher Chow groups to schemes of finite type over a regular scheme of dimension one (including mixed characteristic) and, relying on a fundamental result of Friedlander-Suslin, we globalize the Bloch-Lichtenbaum spectral sequence to give a spectral sequence converging to the G-theory of a scheme X, of finite type over a regular scheme of dimension one, with E-term the motivic Borel-Moore homology (the same as the higher Chow groups of X, after a reindexing).
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