Product structures in motivic cohomology and higher Chow groups |
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| Authors: | Satoshi Kondo Seidai Yasuda |
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| Institution: | a Institute for the Physics and Mathematics of the Universe, The University of Tokyo, 5-1-5 Kashiwa-no-ha, Kashiwa-shi, Chiba, 277-8568, Japanb Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | It is shown that the product structures of motivic cohomology groups and of higher Chow groups are compatible under the comparison isomorphism of Voevodsky (2002) 11]. This extends the result of Weibel (1999) 14], where he used the comparison isomorphism which assumed that the base field admits resolution of singularities.The mod n motivic cohomology groups and product structures in motivic homotopy theory are defined, and it is shown that the product structures are compatible under the comparison isomorphisms. |
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| Keywords: | Primary 14F42 Secondary 13D99 |
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