Varieties

Geometric objects defined by polynomial equations.

algebraic varieties

In mathematics, varieties are geometric objects defined as the solution sets of polynomial equations.

The term 'variety' is derived from the Latin word 'varietas,' meaning diversity or change.

Varieties are like shapes you can draw with equations, often found in math and computer graphics.

What is a variety? A geometric object defined by polynomial equations
What are examples of varieties? Lines, circles, and surfaces described by polynomials
How are varieties used? They appear in algebraic geometry and have applications in cryptography

algebraic geometry geometric object

elliptic curve algebraic curve surface

geometric mathematical concept