Abstract
Let X be a surface over a p-adic field with good reduction and let Y be its special fiber. We write T (X) and T (Y) for the kernels of the Albanese maps of X and Y, respectively. Then, F(X) = T(X)/T(X)div is conjectured to be finite, where T(X)div is the maximal divisible subgroup of T(X). Furthermore, F(X) is conjectured to be isomorphic to T(Y) modulo p-primary torsion. We show that the p-primary torsion subgroup of F(X) can be arbitrary large even though we fix the special fiber Y.
Original language | English |
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Pages (from-to) | 289-306 |
Number of pages | 18 |
Journal | K-Theory |
Volume | 31 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2004 Apr |
Externally published | Yes |
Keywords
- Abelian surface over a local field
- Chow group
- Syntomic cohomology
ASJC Scopus subject areas
- Mathematics(all)