Origin: Latin suffix -ive
Genitive has 4 different meanings across 2 categories:
the case expressing ownership
An inflection pattern (of any given language) that expresses origin or ownership and possession.
serving to express or indicate possession
"possessive pronouns"
"the genitive endings"
Of or pertaining to that case (as the second case of Latin and Greek nouns) which expresses a quality, origin or possession. It corresponds to the possessive case in English.
The word comes from Late Middle English genetif, which originally meant "pertaining to the genitive case" or "related to the generation of offspring." It was formed by adding the suffix -ive to this root to create an adjective.