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Automorphisms Of Graph Curves On K3 Surfaces, Joshua C. Ferrerra
Automorphisms Of Graph Curves On K3 Surfaces, Joshua C. Ferrerra
Electronic Theses and Dissertations
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.