On Enriques surfaces in characteristic \(p\). I (Q1064371)
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scientific article; zbMATH DE number 3918554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Enriques surfaces in characteristic \(p\). I |
scientific article; zbMATH DE number 3918554 |
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On Enriques surfaces in characteristic \(p\). I (English)
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1983
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The author proves the basic results on Enriques surfaces in positive characteristic, well known in the classical case, including characteristic 2 where special phenomena occur. The main results are: the rank of the Néron-Severi group is 10, the surface admits an elliptic or quasi-elliptic pencil and it is, except when it is non-classical which is possible only in characteristic 2, birational to a sextic which is the specialization of a sextic passing doubly through the edges of a tetrahedron.
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Enriques surfaces in positive characteristic
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characteristic 2
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rank of the Néron-Severi group is 10
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quasi-elliptic pencil
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0.98070985
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0.9426194
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0.92595184
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0.9123968
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0.91036814
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0.90496445
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0.9023385
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