On elliptic K3 surfaces

2005/05/09 by Ichiro Shimada, Shimada, Ichiro
Mathematics · #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J28

paper · pdf · doi:10.48550/arxiv.math/0505140

110 pages, with a table; Lemma 5.2 and minor typos are corrected, some references are updated, the table is not changed

arxiv created 2006/04/11 · arxiv updated 2009/12/01

Abstract

We classify all the possible configurations of singular fibers and the torsion parts of Mordell-Weil groups of complex elliptic K3 surfaces. The complete list of 3279 configurations is attached.

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