ON THE GEOMETRY AND ARITHMETIC OF SYMPLECTIC QUOTIENTS OF K3 SURFACES

ÇINKIR, ZÜBEYIR
M.S., Mathematics
Supervisor : Prof. Dr. HURSIT ÖNSIPER
Co-supervisor : -
February 2000, 19 pages


In this thesis, we study the geometry and arithmetic of K3 surfaces admitting symplectic group actions giving rise to generalized Shioda-Inose structures. The main
cotribution consists of explicit construction of these structures for all possible groups, except for two of them. We also extend the arithmetic application of classical
Shioda-Inose structures to a class of K3 surfaces properly containing singular K3 surfaces.

Keywords : K3 Surfaces, Symplectic Group Actions