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Oct 26, 2011 at 21:29 vote accept Sándor Kovács
Oct 26, 2011 at 21:28 history edited Sándor Kovács CC BY-SA 3.0
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Oct 25, 2011 at 19:17 answer added user5117 timeline score: 5
Oct 25, 2011 at 14:27 comment added user5117 Another comment: isn't Barkowski's result true in all dimensions because of BDPP (Mov is dual to the pseudoeffective cone) and BCHM (Fanos are Mori dream spaces)?
Oct 25, 2011 at 12:12 comment added J.C. Ottem I've added his example in the answer below. I'd also be interested in hearing Artie's thoughts on this, so I hope he joins the discussion.
Oct 25, 2011 at 11:35 comment added Sándor Kovács p.s: I didn't know about this example, but I was expecting Artie to answer the question. :)
Oct 25, 2011 at 11:34 comment added Sándor Kovács @JC: yes, this would be an answer. Why don'y you put it as an answer? (In the mean time I realized that this is unfortunately not enough for my initial idea for that other question I started the question with)
Oct 25, 2011 at 11:24 history edited Sándor Kovács CC BY-SA 3.0
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Oct 25, 2011 at 8:34 comment added J.C. Ottem By the way, Artie Prendergast-Smith has an example here arxiv.org/pdf/0910.5888 of a rational threefold whose nef cone is rational polyhedral but the effective movable cone is not. Would this be an answer to your question?
Oct 25, 2011 at 4:07 history edited Sándor Kovács CC BY-SA 3.0
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Oct 25, 2011 at 3:14 history asked Sándor Kovács CC BY-SA 3.0