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Web page: Alexandru I. Suciu | Created: April 13, 2000 |
| Maintained by: Carol Chang | URL: http://www.math.neu.edu/~GASC/gas/hesselholt.html |
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| K-theory of local fields and the de Rham-Witt complex |
| Abstract:Let V be a complete discrete valuation ring with field of fractions K of characteristic 0 and perfect residue field k of characteristic p>2. I will outline the proof that for $s,v\geq 1$, K_{2s}(K,Z/p^v) = H^0(K,Z/p^v(s))\oplus H^2(K,Z/p^v(s+1)), K_{2s-1}(K,Z/p^v) = H^1(K,Z/p^v(s)). This verifies the Lichtenbaum-Quillen conjecture for the field K. |
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Web page: Alexandru I. Suciu | Created: April 13, 2000 |
| Maintained by: Carol Chang | URL: http://www.math.neu.edu/~GASC/gas/hesselholt.html |