English

The Neron-Tate pairing and elliptic K3 surfaces

Algebraic Geometry 2017-08-22 v1

Abstract

In this paper, we demonstrate a connection between the group structure and Neron-Tate pairing on elliptic curves in an elliptic fibration with section on a K3 surface, and the structure of the ample cone for the K3 surface. Part of the result can be thought of as a case of the specialization theorem.

Keywords

Cite

@article{arxiv.1708.05998,
  title  = {The Neron-Tate pairing and elliptic K3 surfaces},
  author = {Arthur Baragar},
  journal= {arXiv preprint arXiv:1708.05998},
  year   = {2017}
}
R2 v1 2026-06-22T21:18:56.912Z