(..this is almost a continuation of my last question (which got closed!)...) Let me first rewrite one of the main results of this paper, http://calvino.polito.it/~camporesi/JMP94.pdf in a coordinate system where the metric on $\mathbb{H}_n$ looks like, $ds^2 = \frac{1}{z^2}(dz^2 + \sum_{i=1}^{n-1...

Let A be a positively graded algebra such that A_0 has finite global dimension (see On a common generalization of Koszul duality and tilting equivalence by Dag Madson, arXiv.org > math > arXiv:1007.3282) I am not an expert in this kind of algebras but is it true that like in the classical case o...