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.

Invitation to integral and rational points on curves and surfaces

Turchet, Amos
2015

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.
2015
Settore MAT/03 - Geometria
Settore MATH-02/B - Geometria
Rational points, rational curves, and entire holomorphiccurves on projective varieties
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/81964
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