Finiteness theorems for the shifted Witt and higher Grothendieck-Witt groups of arithmetic schemes (Q427763)
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scientific article; zbMATH DE number 6046977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finiteness theorems for the shifted Witt and higher Grothendieck-Witt groups of arithmetic schemes |
scientific article; zbMATH DE number 6046977 |
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Finiteness theorems for the shifted Witt and higher Grothendieck-Witt groups of arithmetic schemes (English)
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18 June 2012
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For smooth varieties over finite fields, the shifted (resp. derived) Witt groups of surfaces are finite and the higher Grothendieck-Witt groups (resp. Hermitian \(K\)-theory) of curves are finitely generated. For more general arithmetic schemes, conditional results are obtained. For example, finite generation of the motivic cohomology groups implies finite generation of the Grothendieck-Witt groups.
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varieties over finite fields
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Hermitian \(K\)-theory
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arithmetic scheme
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motivic cohomology
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Grothendieck-Witt group
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