Elliptic K3 surfaces with p^n-torsion sections

Hiroyuki Ito; Christian Liedtke

Elliptic K3 surfaces with p^n-torsion sections

Algebraic Geometry 2012-10-22 v3

Authors: Hiroyuki Ito , Christian Liedtke

Abstract

We classify elliptic K3 surfaces in characteristic $p$ with $p^n$ -torsion sections. For $p^n\geq3$ we verify conjectures of Artin and Shioda, compute the heights of their formal Brauer groups, as well as Artin invariants and Mordell--Weil groups in the supersingular cases.

Keywords

algebraic surfaces elliptic curves del pezzo surfaces

Cite

@article{arxiv.1003.0144,
  title  = {Elliptic K3 surfaces with p^n-torsion sections},
  author = {Hiroyuki Ito and Christian Liedtke},
  journal= {arXiv preprint arXiv:1003.0144},
  year   = {2012}
}

Comments

30 pages

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