Equations for some very special Enriques surfaces in characteristic two

Equations for some very special Enriques surfaces in characteristic two
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特征二中一些非常特殊的恩里克斯曲面的方程

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发表时间:
2003
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通讯作者:
Pelle Salomonsson
Pelle Salomonsson
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文献类型:
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作者:
Pelle Salomonsson

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在特征二中,我们给出了一类非常特殊的Enrique曲面的显式构造和分类。这证明了一些被Cossec和Dolgachev在他们关于这一主题的书中称为“特别的”的表面的存在,而这些表面的存在被他们留了下来。这些曲面与Ekedahl和Shepherd-Barron在最近的工作中引入的一类曲面不谋而合。
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.