Let H be a finite dimensional hereditary algebra over an algebraically
closed field, and let CH be the corresponding cluster category.
We give a description of the (standard) fundamental domain of CH in the bounded derived category Db(H), and of the
cluster-tilting objects, in terms of the category modΓ\ of finitely
generated modules over a suitable tilted algebra Furthermore, we
apply this description to obtain (the quiver of) an arbitrary cluster-tilted
algebra.Comment: 20 pages, 9 figure