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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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Perfect complexes on affine schemes

I'm reading a paper on algebraic stacks and in some part is stated the following: Let $X$ be an algebraic stack and let $P\in D_{qc}(X)$ be a perfect complex. Then, for every $x\in |X|$, there exist …