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Nov 9, 2014 at 1:25 vote accept Li Yutong
Nov 9, 2014 at 1:25 comment added Li Yutong Beautiful!!! I understand it now. Thank you very very much!!!
Nov 8, 2014 at 23:37 comment added user47305 If $X$ is minimal, then any $K_X+H'$ contraction is of an $H'$-negative ray (since $K_X$ nef). But $H'$ has codimension $2$ base locus since it's the strict transform of an ample under a small modification. So a $K_X+H'$-contraction must be flipping. (Again if $X$ isn't minimal this is false.)
Nov 8, 2014 at 20:17 comment added Li Yutong Yes, assume the singularity is good ($X,Y$ are lc, and make a small multiple of $H'$ etc.), then why there is no divisorial/fibre contraction? (I don't understand why $X$ is minimal is used here)
Nov 8, 2014 at 20:15 history edited user47305 CC BY-SA 3.0
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Nov 8, 2014 at 20:03 history edited user47305 CC BY-SA 3.0
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Nov 8, 2014 at 19:25 history answered user47305 CC BY-SA 3.0