TY - JOUR
T1 - Arithmetic moduli and lifting of Enriques surfaces
AU - Liedtke, Christian
N1 - Publisher Copyright:
© 2015 by De Gruyter.
PY - 2015/9/1
Y1 - 2015/9/1
N2 - We construct the moduli space of Enriques surfaces in positive characteristic and eventually over the integers, and determine its local and global structure. As an application, we show lifting of Enriques surfaces to characteristic zero. The key observation is that the canonical double cover of an Enriques surface is birational to the complete intersection of three quadrics in P5, even in characteristic 2.
AB - We construct the moduli space of Enriques surfaces in positive characteristic and eventually over the integers, and determine its local and global structure. As an application, we show lifting of Enriques surfaces to characteristic zero. The key observation is that the canonical double cover of an Enriques surface is birational to the complete intersection of three quadrics in P5, even in characteristic 2.
UR - http://www.scopus.com/inward/record.url?scp=84941088294&partnerID=8YFLogxK
U2 - 10.1515/crelle-2013-0068
DO - 10.1515/crelle-2013-0068
M3 - Article
AN - SCOPUS:84941088294
SN - 0075-4102
VL - 2015
SP - 35
EP - 65
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 706
ER -