On the arithmetic of fibered surfaces

Kaba, Mustafa Devrim
In the first three chapters of this thesis we study two conjectures relating arithmetic with geometry, namely Tate and Lang’s conjectures, for a certain class of algebraic surfaces. The surfaces we are interested in are assumed to be defined over a number field, have irregularity two and admit a genus two fibration over an elliptic curve. In the final chapter of the thesis we prove the isomorphism of the Picard motives of an arbitrary variety and its Albanese variety.
Citation Formats
M. D. Kaba, “On the arithmetic of fibered surfaces,” Ph.D. - Doctoral Program, Middle East Technical University, 2011.