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Mar 1, 2013 at 20:16 comment added Karl Schwede Happy to help. Yes, it should be true under the assumption that $M - K_X - \Delta$ is ample. At the very least, you should be able to take some affine cone and just argue that way for $\tau$. It's probably true more generally though. Let me know if I can be of any other assistance.
Mar 1, 2013 at 19:29 vote accept Omprokash
Mar 1, 2013 at 19:28 comment added Omprokash Thank you very much Karl for your reply! Now I know that it's not gonna work the way I was trying to make it work. To be honest I was expecting that you would answer something when I asked this problem yesterday, :-) Anyway, I looked at your paper and it seems $P^0$ might be a good candidate for me! I have the appropriate assumption on $M-K_X-\Delta$ that it's ample. So, under this assumption is the relation true replacing $S^0$ by $P^0$ on both sides? I will read the paper carefully. Thanks again.
Mar 1, 2013 at 14:39 history edited Karl Schwede CC BY-SA 3.0
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Mar 1, 2013 at 13:28 history answered Karl Schwede CC BY-SA 3.0