Non-classical Godeaux surfaces
نویسندگان
چکیده
منابع مشابه
Non-classical Godeaux Surfaces
A non-classical Godeaux surface is a minimal surface of general type with χ = K = 1 but with h 6= 0. We prove that such surfaces fulfill h = 1 and they can exist only over fields of positive characteristic at most 5. Like non-classical Enriques surfaces they fall into two classes: the singular and the supersingular ones. We give a complete classification in characteristic 5 and compute their Ho...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2008
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-008-0284-6