Automorphisms of Graph Curves on K3 Surfaces

<p>We examine the automorphism group of configurations of rational curves on $K3$ surfaces. We use the properties of finite automorphisms of \PP¹ 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.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2015

Author dc:creator

• Ferrerra, Joshua C

Contributors dc:contributor

• Enkeleida Lakuriqi
• Saeed Nasseh

• ETD
• Algebraic Geometry
• K3
• singular fiber
• elliptic

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/1268

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-2303