Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Can anybody give me the reference where this counter-example is explained in detail?. Consists on the following Bondal considered a quiver $Q$ with some relations and proved that $D(Q)$ has two different semi-orthogonal decompositions, of length 3 and 2. Also, I don't know anything about quivers, do you think that there is a way to understand this result without a lot of background? Thanks!

share|improve this question

1 Answer 1

http://arxiv.org/abs/1304.0903

share|improve this answer
    
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 –  Miguel May 17 '13 at 16:48
    
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. –  Sasha May 17 '13 at 19:28

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.