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Logarithmic deformations of normal crossing Enriques surfaces in characteristic two

Published online by Cambridge University Press:  01 May 2003

STEFAN SCHRÖER
STEFAN SCHRÖER
Affiliation:
Mathematische Fakultät, Ruhr-Universität, 44780 Bochum, Germany. e-mail: s.schroeer@ruhr-uni-bochum.de
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Abstract

Working in characteristic two, we classify nonsmooth Enriques surfaces with normal crossing singularities. Using Kato’s theory of logarithmic structures, we show that such surfaces are smoothable and lift to characteristic zero, provided they are d-semistable.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 134 , Issue 2 , March 2003 , pp. 207 - 228
Copyright
2003 Cambridge Philosophical Society

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