Logarithmic deformations of normal crossing Enriques surfaces in characteristic two

2000/05/31 by Stefan Schröer, Stefan Schroeer
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #Computer science #Geometry #Gravitational singularity #Lift (data mining) #Logarithm #Mathematical analysis #Mathematics #Normal surface #Polynomial and algebraic computation #Pure mathematics #Surface (topology) #Zero (linguistics) #math.AG #msc:14D15 #msc:14J28 #msc:14L20

paper · pdf · doi:10.1017/s0305004102006333

published as Math. Proc. Cambridge Philos. Soc. 134 (2003), 207-228. · 21 pages, 5 figures, minor changes, to appear in Math. Proc. Cambridge Philos. Soc

arxiv created 2001/06/29 · openalex publication_date 2003/03/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Enriques' classification of surfaces in char.p, III
• Enriques' classification of surfaces in char p: I
• The Arithmetic of Elliptic Curves