Canonical vector heights on K3 surfaces with Picard number three -- addendum

Details Canonical vector heights on K3 surfaces with Picard number three -- addendum Canonical vector heights on K3 surfaces with Picard number three -- addendum

2006-02-08

arxiv.org/abs/math/0602166v1

Mathematics

Algebraic Geometry

6 pages, an addendum to an earlier paper by the first author

Scientific paper

In an earlier paper by the first author, an argument for the nonexistence of canonical vector heights on K3 surfaces of Picard number three was given, based on an explicit surface that was not proved to have Picard number three. In this paper, we fill the gap in the argument by redoing the computations for another explicit surface for which we prove that the Picard number equals three. The conclusion remains unchanged.

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