> Do people think that algebraic geometry might be thought of as the root of all geometry?
I certainly don't think of it this way.
There are many geometries and spaces that cannot be described fruitfully within the framework of algebraic geometry, much the same as how there are many functions that are not analytic.
I certainly don't think of it this way.
There are many geometries and spaces that cannot be described fruitfully within the framework of algebraic geometry, much the same as how there are many functions that are not analytic.