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algebraic varieties

algebraic varieties is the plural of algebraic variety.

Meaning of algebraic variety

Noun

algebraic variety (plural algebraic varieties)

  1. The set of solutions of a given system of polynomial equations over the real or complex numbers; any of certain generalisations of such a set that preserves the geometric intuition implicit in the original definition.
    • If #92;mathcal#123;W#125; is a locally closed subset (i.e., the intersection of open and closed sets) of an algebraic variety, it becomes an algebraic variety in a natural manner since the germs of regular functions at x#92;in#92;mathcal#123;W#125; axe taken to be the germs of functions on...2005, Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvili, Geometric and Algebraic Topological Methods in Quantum Mechanics, World Scientific, page 87
    Synonyms:
    variety

Questions about algebraic varieties

What is algebraic varieties the plural of?
Algebraic varieties is the plural of algebraic variety.

Words near algebraic varieties in the dictionary

  1. algebraic structure
  2. algebraic structures
  3. algebraic subvarieties
  4. algebraic subvariety
  5. algebraic topology
  6. algebraic varieties
  7. algebraic variety
  8. algebraical
  9. algebraically
  10. algebraically closed
  11. algebraically independent

Source and license

Adapted from Wiktionary: algebraic varieties (page history and authors); algebraic variety (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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