Elliptic 𝐾3 surfaces with 𝐩^{𝐧}-torsion sections-Reference-Cited by-同舟云学术

Elliptic 𝐾3 surfaces with 𝐩^{𝐧}-torsion sections

Published:2012-03-14 Issue:1 Volume:22 Page:105-139
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Ito Hiroyuki,Liedtke Christian

Abstract

We classify elliptic K3 surfaces in characteristic p p with p n p^n -torsion section. For p n ≥ 3 p^n\geq 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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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