On the K-theory of local fields (Q799733)
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scientific article; zbMATH DE number 3873453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the K-theory of local fields |
scientific article; zbMATH DE number 3873453 |
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On the K-theory of local fields (English)
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1984
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The author completes his proof of the Lichtenbaum conjecture on the algebraic K-theory of an algebraically closed field. In [Invent. Math. 73, 241-245 (1983; Zbl 0514.18008)] he showed that it suffices to take one field of each characteristic. Here, by considering local rings, he shows that one needs only one field altogether. He computes the K-theory of the complex numbers (also of the real numbers), and so makes the proof independent of computations for fields of finite characteristic.
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Henselian valuation rings
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K-theory of local fields
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K-theory of algebraically closed fields
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Lichtenbaum conjecture
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0.9493606
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0.92753124
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