Canonical Maps to Twisted Rings
arXiv:math/0409405
Abstract
If A is a strongly noetherian graded algebra generated in degree one, then there is a canonically constructed graded ring homomorphism from A to a twisted homogeneous coordinate ring B(X, L, sigma), which is surjective in large degree. This result is a key step in the study of projectively simple rings. The proof relies on some results concerning the growth of graded rings which are of independent interest.
LaTeX, 21 pages; corollary of main theorem added to intro; other minor changes from ver. 1