Talk:Numerically effective
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Hello all. I don't want to be a pain, but I think this page should be moved to Nef line bundle (to parallel Ample line bundle). The reason is this: although the term 'nef' was originally an abbreviation for 'numerically effective' (sort of; it also comes from 'numerically eventually free'), 'nef' and 'numerically effective' now mean different things: an effective divisor need not be nef, and vice-versa. (Also, a nef divisor need not be 'eventually free' either, so this is no better.) Kollar says in his paper Flips, flops, minimal models etc. that nef 'replaces the earlier confusing terminology "numerically effective"'. In short, the best interpretation is that nef means nef and nothing else.
Any thoughts would be appreciated. Artie P.S. 11:46, 15 November 2007 (UTC)