On the proof of Castelnuovo's rationality criterion in positive characteristic (Q1173725)
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scientific article; zbMATH DE number 7322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the proof of Castelnuovo's rationality criterion in positive characteristic |
scientific article; zbMATH DE number 7322 |
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On the proof of Castelnuovo's rationality criterion in positive characteristic (English)
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25 June 1992
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One of the final steps in Zariski's proof of Castelnuovo's rationality criterion is to show the existence of `lines' on a Del Pezzo surface. Here, looking at the anticanonical model, we find the number of exceptional curves of the first kind, and their incidence configuration, on a smooth Del Pezzo surface with \(K^ 2=2\) over an algebraically closed field of characteristic 2, using computational techniques.
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number of exceptional curves on a smooth Del Pezzo surface
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rationality
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characteristic 2
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computational technique
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