English

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

Algebraic Geometry 2007-05-23 v1 Number Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0602166,
  title  = {Canonical vector heights on K3 surfaces with Picard number three -- addendum},
  author = {Arthur Baragar and Ronald van Luijk},
  journal= {arXiv preprint arXiv:math/0602166},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T17:31:16.367Z