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

3 votes
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128 views

Finite weight spaces for coherent sheaf cohomology

Given a smooth quasiprojective variety $X$ with a coherent sheaf $E$, if $X$ is not projective, then the sheaf cohomology of $E$ may not be finite-dimensional. However, if we also have the action of …
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3 votes

Direct limits and quasi-isomorphism

Doesn't this follow from the exactness of direct limits for modules?
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