A Quillen-type spectral sequence for the K-theory of varieties with isolated singularities (Q750545)
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scientific article; zbMATH DE number 4175124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Quillen-type spectral sequence for the K-theory of varieties with isolated singularities |
scientific article; zbMATH DE number 4175124 |
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A Quillen-type spectral sequence for the K-theory of varieties with isolated singularities (English)
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1989
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Let X be a quasiprojective scheme whose singularities form a finite set of closed points. \textit{C. Pedrini} and \textit{C. A. Weibel} [in Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part I, Contemp. Math. 55, 339-370 (1986; Zbl 0607.14002)] constructed an explicit flasque resolution of the K-theory sheaf. Using this resolution the author constructs a Quillen-type of spectral sequence for \(K_*(X)\). The explicit construction makes it possible to relate K-theory to intersection theory on X.
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resolution of the K-theory sheaf
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Quillen-type of spectral sequence
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intersection theory
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0.9329505
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0.9105128
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0.9017049
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