Diophantine geometry Diophantine geometry, is the application of techniques from algebraic geometry which considers equations that also have a geometric meaning. The central idea of Diophantine geometry is that of a rational point, namely a solution to a polynomial equation or a system of polynomial equations, which is a vector in a prescribed field , when is not algebraically closed.
Diophantine geometry Diophantine geometry, is the application of techniques from algebraic geometry which considers equations that also have a geometric meaning. The central ide,a of Diophantine geometry is that of a rational point namely a solution to a ,polynomial equation or a system of polynomial equations which is a vector in a prescribed field  when is not algebraically clo,sed.