Logarithmic deformations of normal crossing Enriques surfaces in characteristic two

Abstract

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.

arXiv comment21 pages, 5 figures, minor changes, to appear in Math. Proc. Cambridge Philos. Soc