Search for "Diophantine geometry" in article titles:

1. Diophantine geometry: In mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became clear for some mathematicians that methods of algebraic geometry are ideal tools to study these equations. (Mathematics of varieties with integer coordinates) [100%] 2023-09-14 [Diophantine geometry] [Fields of mathematics]...
2. Diophantine geometry: Diophantine analysis The branch of mathematics whose subject is the study of integral and rational solutions of systems of algebraic equations (or Diophantine equations) by methods of algebraic geometry. The appearance of algebraic number theory in the second half of ... (Mathematics) [100%] 2023-09-12
3. Height, in Diophantine geometry: A certain numerical function on the set of solutions of a Diophantine equation (cf. Diophantine equations). (Mathematics) [70%] 2023-09-12
4. Glossary of arithmetic and diophantine geometry: This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of ... (none) [57%] 2024-02-13 [Diophantine geometry] [Algebraic geometry]...