On Enriques surfaces in characteristic \(p\). I
type: Item
instance of: scholarly article
title: On Enriques surfaces in characteristic \(p\). I
zbMATH Open document ID: 0575.14032
DOI: 10.1007/BF01456935
author: William E. Lang
published in: Mathematische Annalen
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/163809
review text: 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.
reviewed by: Torsten Ekedahl
Mathematics Subject Classification ID: 14J10
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 3918554
zbMATH Keywords: Enriques surfaces in positive characteristic
zbMATH Keywords: characteristic 2
zbMATH Keywords: rank of the Néron-Severi group is 10
zbMATH Keywords: quasi-elliptic pencil
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3918554