Arithmetic of the [19,1,1,1,1,1] Fibration
نویسنده
چکیده
Suppose π : S → P is an elliptic K3-surface over C with a section, such that all its singular fibres are multiplicative. Suppose moreover that π is extremal, i.e., the group of sections of π is finite and the rank ρ of the Néron-Severi group NS(S) of S is maximal, so ρ = 20. A formula of Shioda and Tate [Sh90, Cor. 5.3] then implies that π has precisely 6 singular fibers, consisting of ni components (i = 1, . . . , 6) and ∑
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تاریخ انتشار 2005