Logarithmic deformations of normal crossing Enriques surfaces in characteristic two

Details Logarithmic deformations of normal crossing Enriques surfaces in characteristic two Logarithmic deformations of normal crossing Enriques surfaces in characteristic two

2000-05-08

arxiv.org/abs/math/0005075v2

Math. Proc. Cambridge Philos. Soc. 134 (2003), 207-228.

Mathematics

Algebraic Geometry

21 pages, 5 figures, minor changes, to appear in Math. Proc. Cambridge Philos. Soc

Scientific paper

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

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