We provide a basic short introduction to Diophantine Geometry focusing on solutions to polynomial equations that correspond to rational and integral point of curves and surfaces. The methods employed are quite elementary and require no advanced background. We provide several explicit examples as well as ample citation for the motivated reader, aiming at introducing non-specialist to this intriguing world.
Das, P., Turchet, A. (2015). Invitation to integral and rational points on curves and surfaces. In Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties (pp. 53-73). P.O. BOX 6248, PROVIDENCE, RI 02940 USA : AMER MATHEMATICAL SOC [10.1090/conm/654/13215].
Invitation to integral and rational points on curves and surfaces
Turchet, A
2015-01-01
Abstract
We provide a basic short introduction to Diophantine Geometry focusing on solutions to polynomial equations that correspond to rational and integral point of curves and surfaces. The methods employed are quite elementary and require no advanced background. We provide several explicit examples as well as ample citation for the motivated reader, aiming at introducing non-specialist to this intriguing world.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
