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I am pretty sure that the Noether inequality is true in characteristic p, but I don't know a good reference.
Found reference and changed formulation to also be valid over an arbitrary algebraically closed field —Preceding unsigned comment added by 85.145.113.151 ( talk) 23:28, 11 May 2009 (UTC) RogierBrussee ( talk) 20:10, 8 May 2009 (UTC)