Lattices and Their Applications to Rational Elliptic Surfaces
Download or Read eBook Lattices and Their Applications to Rational Elliptic Surfaces PDF written by Gretchen Rimmasch and published by . This book was released on 2003 with total page 70 pages. Available in PDF, EPUB and Kindle.
Author | : Gretchen Rimmasch |
Publisher | : |
Total Pages | : 70 |
Release | : 2003 |
ISBN-10 | : OCLC:54427150 |
ISBN-13 | : |
Rating | : 4/5 (50 Downloads) |
Book Synopsis Lattices and Their Applications to Rational Elliptic Surfaces by : Gretchen Rimmasch
Book excerpt: This thesis discusses some of the invariants of rational elliptic surfaces, namely the Mordell-Weil Group, Mordell-Weil Lattice, and another lattice which will be called the Shioda Lattice. It will begin with a brief overview of rational elliptic surfaces, followed by a discussion of lattices, root systems and Dynkin diagrams. Known results of several authors will then be applied to determine the groups and lattices associated with a given rational elliptic surface, along with a discussion of the uses of these groups and lattices in classifying surfaces.