Phrase guide

projective variety

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A Zariski closed subvariety of a projective space; the zero-locus of a set of homogeneous polynomials that generates a prime ideal.

Definition source: English Wiktionary via Wiktextract

Topics: algebraic-geometry, geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

4 source translations are retained for this English entry.

  • Finnish: projektiivinen varisto — Zariski closed subvariety of a projective space
  • German: projektive Varietät — Zariski closed subvariety of a projective space
  • Italian: varietà proiettiva — Zariski closed subvariety of a projective space
  • Polish: rozmaitość rzutowa — Zariski closed subvariety of a projective space