The l-component of the unipotent Albanese map |
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| Authors: | Minhyong Kim Akio Tamagawa |
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| Affiliation: | (1) Department of Mathematics, Purdue University, West Lafayette, IN 47906, USA;(2) Korea Institute of Advanced Study, 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130-722, South Korea;(3) Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | We prove a finiteness theorem for the local l ≠ p-component of the  -unipotent Albanese map for curves. As an application, we refine the non-abelian Selmer varieties arising in the study of global points and deduce thereby a new proof of Siegel’s theorem for affine curves over  of genus one with Mordell–Weil rank at most one. |
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