On Enriques surfaces in characteristic \(p\). I
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.
Enriques surfaces in positive characteristic
scientific article; zbMATH DE number 3918554
scientific article