Torsion zero-cycles on a product of canonical lifts of elliptic curves

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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 languageEnglish
Pages (from-to)289-306
Number of pages18
JournalK-Theory
Volume31
Issue number4
DOIs
Publication statusPublished - 2004 Apr 1
Externally publishedYes

Keywords

  • Abelian surface over a local field
  • Chow group
  • Syntomic cohomology

ASJC Scopus subject areas

  • Mathematics(all)

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