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

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

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

See: http://www.math.uni-bielefeld.de/~mseverit/algkalgc.pdf page 2, 6th equation.

(cross post from http://math.stackexchange.com/questions/39186/quotient-category-coh-d-coh-d-1 )

share|improve this question
add comment

Your Answer

 
discard

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

Browse other questions tagged or ask your own question.