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May 17, 2013 at 19:28 comment added Sasha The reason for nonextendability is the fact that the Euler form $\chi(-,-)$ on the orthogonal subcategory $P^\perp$ is skew-symmetric, and so $P^\perp$ does not have exceptional objects.
May 17, 2013 at 16:48 comment added Miguel I already knew that papper, the thing is that there it explains what Bondal proved, but doesn't give a detailed proof nor a reference
May 15, 2013 at 16:18 history answered Sasha CC BY-SA 3.0