Noether-Lefschetz for \(K_1\) of a certain class of surfaces (Q1885506)
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scientific article; zbMATH DE number 2114295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Noether-Lefschetz for \(K_1\) of a certain class of surfaces |
scientific article; zbMATH DE number 2114295 |
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Noether-Lefschetz for \(K_1\) of a certain class of surfaces (English)
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5 November 2004
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Let \(Z\) be a general surface in \(\mathbb P^3\) of degree \(d\geq 5\). The aim of the paper under review is to give a new elementary proof of the vanishing of the regulator of \(K_1(Z)\) using a Lefschetz pencil argument. Using similar methods the author also proves the triviality of the regulator for \(K_1\) for the product of two general curves.
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regulator map
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general surfaces in the projective \(3\)-space
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products of curves
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