Elliptic K3 surfaces with p^n-torsion sections

Details Elliptic K3 surfaces with p^n-torsion sections Elliptic K3 surfaces with p^n-torsion sections

2010-02-28

arxiv.org/abs/1003.0144v3

Mathematics

Algebraic Geometry

30 pages

Scientific paper

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.

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