Thanks everybody, for the little episode of CSI you performed here...
When I opened the book, there was something odd about it, but cognitive dissonance got a hold of me...;)
Anyway, I'm convinced now by all the wrong connections in Bukowski's signature you pointed out and weary.tune's comment about the Ginsberg one, that I've bought a genuine fake.
But ah well, I paid around (calculated from euro to dollars) 100 USD for it, I guess it was worth the gamble. (Cognitive dissonance again ;) )
I didn't buy it from an auction house online, but on a Dutch site
that is very much like eBay. (In fact, eBay bought the site 2,3 years ago.)
I trust the seller whom I bought it from, I bought from him before, and believe him when he wrote in his description that he bought the book in 1975, in Amsterdam. I'm pretty sure he didn't know it was a fake.
So, anyone interested in a reading copy of City Lights Anthology, Very Fine, nicely doodled by an unknown hand? :)
Thanks again for your efforts.