The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3
type: Item
instance of: scholarly article
title: The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3
zbMATH Open document ID: 0739.14011
DOI: 10.1007/BF02571415
author: Hiroyuki Ito
published in: Mathematische Zeitschrift
publication date: 1992-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174428
review text: The Mordell-Weil groups of quasi-elliptic surfaces are defined as in the case of elliptic surfaces and shown to be finitely generated torsion groups. They are described completely in the case of unirational quasi- elliptic surfaces of rational type or K3 type in characteristic 3. Moreover, the lattice structures of the Néron-Severi groups of quasi- elliptic K3 surfaces in characteristic 3 are determined.
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 14J27
Mathematics Subject Classification ID: 14J26
Mathematics Subject Classification ID: 14J28
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 14M20
zbMATH DE Number: 4216214
zbMATH Keywords: Artin invariant
zbMATH Keywords: Mordell-Weil groups of quasi-elliptic surfaces
zbMATH Keywords: rational unirational quasi-elliptic surfaces
zbMATH Keywords: characteristic 3
zbMATH Keywords: Néron-Severi groups
zbMATH Keywords: K3 surfaces
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4216214