File:Twisted_cubic_curve.png · Wikimedia Commons · See Wikimedia Commons
algebraic variety
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mathematical object studied in the field of algebraic geometry
In the Vinony graph
Vinony's link graph records 520 inbound references to algebraic variety, and connects out to regular map, polynomial and determinant.
Vinony files it under Algebraic geometry and Algebraic varieties.
Vinony links it to 38 Wikipedia language editions.
Wikidata facts
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- Image
- Twisted cubic curve.png
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- topic's main category
- Category:Algebraic varieties
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- ring theory
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
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- WikiProject Mathematics
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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.