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

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

6 Zitate (Scopus)

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.

Originalsprache	Englisch
Seiten (von - bis)	105-139
Seitenumfang	35
Fachzeitschrift	Journal of Algebraic Geometry
Jahrgang	22
Ausgabenummer	1
DOIs	https://doi.org/10.1090/S1056-3911-2012-00584-0
Publikationsstatus	Veröffentlicht - 2013
Extern publiziert	Ja

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10.1090/S1056-3911-2012-00584-0

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