This is how the theory could be applied to the local zeta-function of an algebraic curve.
However, in the case of algebraic curves it is very common not to restrict the curve to having points only defined over the real numbers.
In general, an algebraic curve that passes through these two points is called circular.
The concept of a focus can be generalized to arbitrary algebraic curves.
However, in the case of algebraic curves it is very common to consider number systems more general than the reals.
It is known to be true for algebraic curves.
Now, are intersection points of with an algebraic curve.
The projective line is a fundamental example of an algebraic curve.
See also algebraic curve for more specific examples of curves.
In this period he published high-quality work on algebraic curves.