Algebraic Variety
The zero set of a collection of polynomials. An algebraic variety is one of the the fundamental objects in algebraic geometry.
Algebraic variety is a graduate-level concept that would be first encountered in an abstract algebra course.
Examples
| Curve: |
A curve is a continuous map from a one-dimensional space to an n-dimensional space. Loosely speaking, the word "curve" is often used to mean the function graph of a two- or three-dimensional curve. |
| Surface: |
A surface is a two-dimensional piece of three-dimensional space. |
Prerequisites
| Polynomial: |
A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. |
Classroom Articles on Abstract Algebra (Up to Graduate Level)
