Standard Lemma guide

projectivization

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.

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Pronunciation

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1

noun

Meaning 1

A process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.

Definition source: English Wiktionary via Wiktextract

Qualifier: birational geometry

Topics: algebraic-geometry, geometry, mathematics, sciences

Examples

  • 1997, M. E. Alferieff (translator), Alexei Kostrikin, Yuri Manin, Linear Algebra and Geometry, Gordon and Breach Science Publishers, Paperback, page 233, Therefore, the projectivization P(f) is determined only on the complement U_f=P(L)P( ker f).

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From projective + -ization.