Elliptic Surfaces
Algebraic Geometry
2010-07-12 v3 Number Theory
Abstract
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.
Cite
@article{arxiv.0907.0298,
title = {Elliptic Surfaces},
author = {Matthias Schuett and Tetsuji Shioda},
journal= {arXiv preprint arXiv:0907.0298},
year = {2010}
}
Comments
93 pages; v3: refereed version, some typos corrected