Term of Award
Spring 2015
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Jimmy Dillies
Committee Member 1
Enkeleida Lakuriqi
Committee Member 2
Saeed Nasseh
Abstract
We examine the automorphism group of configurations of rational curves on $K3$ surfaces. We use the properties of finite automorphisms of $\PP^1$ to examine what restrictions a given elliptic fibration imposes on the possible finite order non-symplectic automorphisms of the $K3$ surface. We also examine the fixed loci of these automorphisms, and construct an explicit fibration to demonstrate the process.
Recommended Citation
Ferrerra, Joshua C., "Automorphisms of Graph Curves on K3 Surfaces" (2015). Electronic Theses and Dissertations. 1268.
https://digitalcommons.georgiasouthern.edu/etd/1268
