Lefschetz-Riemann-Roch theorem for smooth algebraic schemes (Q1204309)
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scientific article; zbMATH DE number 126419
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lefschetz-Riemann-Roch theorem for smooth algebraic schemes |
scientific article; zbMATH DE number 126419 |
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Lefschetz-Riemann-Roch theorem for smooth algebraic schemes (English)
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7 March 1993
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We consider a category of equivariant sheaves and its \(K\)-theory on a scheme over an algebraically closed field with a periodic morphism. We prove the localization theorem in the \(K\)-theory for algebraic schemes and with the help of the theorem, we show the Lefschetz-Riemann-Roch theorem for smooth algebraic schemes. The paper generalizes the result of \textit{P. Donovan} [Bull. Soc. Math. Fr. 97(1969), 257-273 (1970; Zbl 0185.494)], who proved the theorem under the assumption of projectivity.
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\(K\)-theory
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equivariant sheaves
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Lefschetz-Riemann-Roch theorem
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