Elliptic fibrations on the modular surface associated to \Gamma_1(8)
Marie Jos\'e Bertin, Odile Lecacheux
TL;DR
This paper classifies all elliptic fibrations on a specific K3 surface linked to the modular group (8), providing a comprehensive understanding of its geometric structure.
Contribution
It explicitly determines all elliptic fibrations of the K3 surface associated with (8), a novel classification in this context.
Findings
Complete list of elliptic fibrations on the K3 surface
New insights into the geometric structure of the surface
Enhanced understanding of modular surface properties
Abstract
We give all the elliptic fibrations of the K3 surface associated to the modular group \Gamma_1(8).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Finite Group Theory Research