Possessive
Part of speech: adjective
Definition: Of or pertaining to ownership or possession. Indicating ownership, possession, origin, etc. Unwilling to yield possession of.
Part of speech: noun
Definition: The possessive case.
Example sentence: I'm not possessive, I'm caring... Once you realize a person doesn't want that much care, you automatically back off.
Genitive
Part of speech: adjective
Definition: Of or pertaining to that case (as the second case of Latin and Greek nouns) which expresses origin or possession. It corresponds to the possessive case in English.
Part of speech: noun
Definition: The genitive case; the inflection pattern (of any given language) that expresses origin or ownership and possession.A word inflected in the genitive case; a word indicating origin, ownership or possession.