Elliptic Surfaces

Details Elliptic Surfaces Elliptic Surfaces

2009-07-02

arxiv.org/abs/0907.0298v3

Mathematics

Algebraic Geometry

93 pages; v3: refereed version, some typos corrected

Scientific paper

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.

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