File:Twisted_cubic_curve.png · Wikimedia Commons · See Wikimedia Commons
algebraic variety
Sign in to saveAlso known as variety
mathematical object studied in the field of algebraic geometry
Wikidata facts
- Subclass of
- scheme
- Image
- Twisted cubic curve.png
Show 5 more facts
- different from
- scheme
- topic's main category
- Category:Algebraic varieties
- studied by
- ring theory
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- maintained by WikiProject
- WikiProject Mathematics
via Wikidata · CC0
~29 min read
Encyclopedic overview
The twisted cubic is a projective algebraic variety. It is the intersection of the surfaces y = x and z = x.
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition.
Excerpted from Wikipedia’s “algebraic variety” article, available under the CC BY-SA 4.0 licence.