2010/07/05 by Junmyeong Jang, Jang, Junmyeong
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1007.0607
In this paper, we study the ordinarity of an isotrivial elliptic surface defined over a field of positive characteristic. If an isotrivial elliptic fibration π:X → C is given, X is ordinary when the common fiber of π is ordinary and a certain finite cover of the base C is ordinary. By this result, we may obtain the ordinary reduction theorem for some kinds of isotrivial elliptic fibrations.