Elliptic K3 surfaces with pn-torsion sections

Hiroyuki Ito; Christian Liedtke

doi:10.1090/S1056-3911-2012-00584-0

Elliptic K3 surfaces with pⁿ-torsion sections

Hiroyuki Ito, Christian Liedtke

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We classify elliptic K3 surfaces in characteristic p with p ⁿ-torsion section. For pⁿ ≥ 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.

Original language	English
Pages (from-to)	105-139
Number of pages	35
Journal	Journal of Algebraic Geometry
Volume	22
Issue number	1
DOIs	https://doi.org/10.1090/S1056-3911-2012-00584-0
State	Published - 2013
Externally published	Yes

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10.1090/S1056-3911-2012-00584-0

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abstract = "We classify elliptic K3 surfaces in characteristic p with p n-torsion section. For pn ≥ 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.",

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AU - Ito, Hiroyuki

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AB - We classify elliptic K3 surfaces in characteristic p with p n-torsion section. For pn ≥ 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.

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JO - Journal of Algebraic Geometry

JF - Journal of Algebraic Geometry

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Elliptic K3 surfaces with pⁿ-torsion sections

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