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Geometrically Abelian Sections on Higher-Dimensional Varieties

Choi, Daebeom
arXiv (All) · Papers
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algebraic-geometrynumber-theory
We investigate how much arithmetic information about a variety can be detected by sections of the geometrically abelian fundamental groups of sufficiently small open subvarieties. Over a \(p\)-adic field, such a section determines a rational point on the Albanese torsor, and, under a conjectural ass
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