Equations for some very special Enriques surfaces in characteristic two

Details Equations for some very special Enriques surfaces in characteristic two Equations for some very special Enriques surfaces in characteristic two

2003-09-12

arxiv.org/abs/math/0309210v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We give an explicit construction and clasification of some very special sort of Enriques surfaces in characteristic two. This proves the existence of some of the surfaces that were called ``extra-special'' by Cossec and Dolgachev in their book on the subject, and whose existence was left open by them. These surfaces coincide with a class of surfaces that are introduced in recent work by Ekedahl and Shepherd--Barron.

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