Talk:Pluricanonical ring

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I don't like the redirection of Kodaira dimension to Pluricanonical ring. There is a notion of Kodaira dimension of a line bundle (the rate of growth of H0(LN), defined in the same way) introduced (at least heavily used) by Kawamata. It would be better to remove the redirect and write a separate page. -- Tiphareth 07:29, 9 February 2007 (UTC)

[edit] math.AG/0610203

I'm not expert enough to include it, but this page should surely include mention of the results from http://front.math.ucdavis.edu/math.AG/0610203 . "Abstract: We prove that the canonical ring of a smooth projective variety is finitely generated." —The preceding unsigned comment was added by 66.27.69.167 (talk) 08:03, 5 March 2007 (UTC).