Elliptic Surfaces

By M. Schuett, T. Shioda. Mordell–Weil Lattices, 2009

153 citations recorded by the source corpus.

This survey paper concerns elliptic surfaces with section. We give a detailed overview of the theory including many examples. Emphasis is placed on rational elliptic surfaces and elliptic K3 surfaces. To this end, we particularly review the theory of Mordell-Weil lattices and address arithmetic questions.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2d58fe9342f0401b857155a0998a43f665068050