Milnor K-theory of Smooth Varieties |
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Authors: | Reza Akhtar |
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Affiliation: | (1) Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, USA |
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Abstract: | Let k be a field and X a smooth projective variety of dimension d over k. Generalizing a construction of Kato and Somekawa, we define a Milnor-type group which is isomorphic to the ordinary Milnor We prove that is isomorphic to both the higher Chow group CHd+s (X,s) and the Zariski cohomology group![$$H_{Zar} ^d(X, {{cal K} } ^M_{d+s} )$$](/content/h0856887207g75m6/10977_2004_Article_9124_TeX2GIFIEq4.gif) |
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Keywords: | Milnor K-group higher Chow group mixed K-group zero-dimensional cycles |
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