I am currently writing an essay in linguistic typology on possessives. I got stuck in the last part, in which I am supposed to present a syntactic approach to the structure of possessives. I should find an example in the literature and simply present the approach in 300 words and draw an example tree... I've found an approach that words with predicate-movement, but the article is quite difficult to understand, so if anybody knows a different approach to the topic, I would very glad to hear about it...
On the basis of Ockham's Razor, why not try out McCawley 1999, specifically, Ch 12 (The Structure of Noun Phrases) part c. (Genitives) pp 399-406.
He lays out all the possible structures, and the arguments for and against them, very clearly. Mind you, he does expect that you understand how syntax works, as explained in the 11 previous chapters.