Quotient category $Coh_d/Coh_{d-1}$

Asked May 15 '11 at 09:53

Active May 15 '11 at 09:53

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Let $X$ be a scheme, and $Coh(X)_d$ be the category of coherent sheaves of support <= d dimensional.

Why is $Coh(X)_d/Coh(X)_{d-1}$ equivalent to $\oplus_{x \in X^{(d)}} \mathcal{A}(\mathcal{O}_{X,x})$?

asked May 15 '11 at 09:53

user5262

1

http://www.matheplanet.com/matheplanet/nuke/html/viewtopic.php?rd2&topic=155261&start=0#p1177208 – Martin Brandenburg Mar 07 '14 at 10:57
@MartinBrandenburg Please consider converting your comment into an answer, so that this question gets removed from the unanswered tab. If you do so, it is helpful to post it to this chat room to make people aware of it (and attract some upvotes). For further reading upon the issue of too many unanswered questions, see here, here or here. – Julian Kuelshammer Apr 28 '15 at 20:27
I haven't really understood the answer in detail, so perhaps someone else can write a better answer. – Martin Brandenburg Apr 28 '15 at 20:49

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