Abstract
Let C1, ⋯, Cd be Mumford curves defined over a finite extension of ℚp, and let X = C1 × ⋯ × Cd. We shall show the following: (1) The cycle map CH0(X)/n → H2d (X, μn ⊗d) is injective for any non-zero integer n. (2) The kernel of the canonical map CH0(X) → Hom(Br(X), ℚ/ℤ) (defined by the Brauer-Manin pairing) coincides with the maximal divisible subgroup in CH0(X).
Original language | English |
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Pages (from-to) | 549-567 |
Number of pages | 19 |
Journal | Mathematische Annalen |
Volume | 333 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2005 Nov 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)