Elliptic K3 surfaces with p^n-torsion sections

Abstract

We classify elliptic K3 surfaces in characteristic $p$ with $p^n$-torsion sections. For $p^n\ge 3$ 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.

30 pages

References in corpus (2)

• Wild p-cyclic actions on K3 surfaces
• The Neron model over the Igusa curves

Cited by in corpus (1)

• Constructing explicit K3 spectra