nLab rational point



In algebraic geometry and arithmetic geometry, a rational point of an arithmetic scheme SS is a morphism Spec(Q)SSpec(Q) \to S from the ring spectrum of the rational numbers.

If SS is the algebraic variety of solutions to some polynomial equations, then a rational point corresponds to a solution of these equations in the field of rational numbers


Created on January 8, 2018 at 10:56:07. See the history of this page for a list of all contributions to it.