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
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and...
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. General...
In this paper, we are focusing on solving Diophantine equations with geometry. Integers that are sol...
We provide a basic short introduction to Diophantine Geometry focusing on solutions to polynomial eq...
We provide a basic short introduction to Diophantine Geometry focusing on solutions to polynomial eq...
Solving polynomial equations with integral coefficients is one of the oldest mathematical prob-lems ...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
The paper proves new results on integral points on certain rational surfaces. For the first time an ...
The paper proves new results on integral points on certain rational surfaces. For the first time an ...
Given an equation of the form f(x, y) = 0, where f is a polynomial in two variables with rational co...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
Abstract. The problem of finding rational or integral points of an ellip-tic curve basically boils d...
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and...
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. General...
In this paper, we are focusing on solving Diophantine equations with geometry. Integers that are sol...
We provide a basic short introduction to Diophantine Geometry focusing on solutions to polynomial eq...
We provide a basic short introduction to Diophantine Geometry focusing on solutions to polynomial eq...
Solving polynomial equations with integral coefficients is one of the oldest mathematical prob-lems ...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
The paper proves new results on integral points on certain rational surfaces. For the first time an ...
The paper proves new results on integral points on certain rational surfaces. For the first time an ...
Given an equation of the form f(x, y) = 0, where f is a polynomial in two variables with rational co...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
Abstract. The problem of finding rational or integral points of an ellip-tic curve basically boils d...
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and...
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. General...
In this paper, we are focusing on solving Diophantine equations with geometry. Integers that are sol...