The unipotent Albanese map and Selmer varieties for curves

We study the unipotent Albanese map that associates the torsor of paths for p-adic fundamental groups to a point on a hyperbolic curve. It is shown that the map is very transcendental in nature, while standard conjectures about the structure of mixed motives provide control over the image of the map...

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Bibliographic Details
Main Author: Kim, M
Format: Journal article
Published: Research Institute for Mathematical Sciences, Kyoto University 2009