In mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it...

sets, their study is a part of algebraic geometry that is called Diophantine geometry. The word Diophantine refers to the Hellenistic mathematician of...

be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the...

glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large...

centered around Diophantine geometry, the study of rational points of algebraic varieties. In more abstract terms, arithmetic geometry can be defined as...

In the study of Diophantine geometry, the square lattice of points with integer coordinates is often referred to as the Diophantine plane. In mathematical...

Walter Gubler (2006). Heights in Diophantine Geometry. Cambridge U. P. J. W. S. Cassels. An Introduction to the Geometry of Numbers. Springer Classics in...

theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions...

Real algebraic geometry is the study of the real algebraic varieties. Diophantine geometry and, more generally, arithmetic geometry is the study of algebraic...

In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus...