Invitation to Integral and Rational points on curves and surfaces
arXiv:1407.7750 · doi:10.1090/conm/654/13215
Abstract
This survey article is an introduction to Diophantine Geometry at a basic undergraduate level. It focuses on Diophantine Equations and the qualitative description of their solutions rather than detailed proofs.
Second version - including referee suggested modifications (pictures missing). Comments are welcome!