TL;DR
This paper provides a comprehensive classification of all possible singular fiber configurations and Mordell-Weil torsion groups for complex elliptic K3 surfaces, resulting in a complete list of 3279 configurations.
Contribution
It offers the first complete classification of singular fiber configurations and Mordell-Weil torsion structures for complex elliptic K3 surfaces.
Findings
3279 configurations listed
Complete classification of singular fibers
Mordell-Weil torsion groups characterized
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry