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Title: Miranda-persson's problem on extremal elliptic K3 surfaces
Authors: Bartolo, E.A.
Tokunaga, H.-O.
Zhang, D.-Q. 
Issue Date: 2002
Citation: Bartolo, E.A.,Tokunaga, H.-O.,Zhang, D.-Q. (2002). Miranda-persson's problem on extremal elliptic K3 surfaces. Pacific Journal of Mathematics 204 (1) : 37-72. ScholarBank@NUS Repository.
Abstract: In one of their early works, Miranda and Persson have classified all possible configurations of singular fibers for semistable extremal elliptic fibrations on K3 surfaces. They also obtained the Mordell-Weil groups in terms of the singular fibers except for 17 cases where the determination and the uniqueness of the groups were not settled. In this paper, we settle these problems completely. We also show that for all cases with 'larger' Mordell-Weil groups, this group, together with the singular fibre type, determines uniquely the fibration structure of the K3 surface (up to based fibre-space isomorphisms).
Source Title: Pacific Journal of Mathematics
ISSN: 00308730
Appears in Collections:Staff Publications

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