The Greek form emou is the emphatic genitive singular of the first-person pronoun — 'of me' or 'mine.' As an emphatic (not enclitic) form, it stresses personal possession or source.
When Jesus uses the emphatic emou in the Gospel of John, the weight of personal identity and ownership is maximized. 'My peace I give to you' (John 14:27); 'Apart from me (emou) you can do nothing' (John 15:5); 'If you keep my commandments' (John 15:10). The emphatic genitive makes these not generic statements but deeply personal claims of ownership and relationship. 'The sheep of my (emou) pasture' expresses ownership, care, and covenant identity. Paul's 'I live, yet not I, but Christ lives in me' dissolves the simple 'me' into the mystery of union with Christ.