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

0 votes
1 answer
147 views

operatiing quasi-coherator functor on a product of modules

Let $R$ be a commutative ring and $\{M_i\}_{i\in I}$ be a family of $R$-modules. We know that there are functors $^\widetilde{\ }: R{\rm -Mod}\to {\rm Qco(Spec}R)$ and $\Gamma({\rm Spec}R, -): {\rm …
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2 votes
0 answers
287 views

Flat and injective quasi-coherent sheaves

Let $X$ be a quasi-compact semi-separated scheme and $$\varepsilon: 0\to A \to B \to C \to 0$$ be a short exact sequence of quasi-coherent sheaves. $\varepsilon$ is called a (categorical) pure exact …
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  • 141