algebraic variety
English · Thesaurus
AI In plain words
Writing a short explanation…
Written by a house AI from the entry below, in your language. The entry itself is the source.
algebraic variety
noun algebraic varieties
-
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 #92;mathc
Similar: variety
Translations
Every language
noun set of solutions to a system of polynomial equations; any of certain generalisations of such a set
| Italiano | varietà algebrica |
|---|---|
| Русский | алгебраи́ческое многообра́зие algebraíčeskoje mnogoobrázije |
Talk about this word "algebraic variety." Wiktionary, via Micwyn, micwyn.com/word/algebraic%20variety. Accessed 6 Nov. 2026. algebraic variety. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/algebraic%20variety "algebraic variety." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/algebraic%20variety.Cite this
@misc{algebraic_variety_2026,
title = {algebraic variety},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/algebraic%20variety},
urldate = {2026-11-06}
}
