It is funny how that can mean both "Kateřina is mine" and "Kateřina has them" :P
Oh that's true, I just realized after I found your comment. Interesting ambiguity indeed.
Why isn't MOJE used? It was the first in the table, so I thought it was the one for emphasizing the pronoun.
Má means my?
And what does it means můj?
můj is masculine, e.g. Adam je můj!