coherent sheaves
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Problem 40: Harthsorne III.5.1
Hartshorne Exercise III.5.1. Let $X$ be a projective scheme over a field $k$, and let $\mathcal…
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Problem 23: Hartshorne II.7.1
Hartshorne Exercise II.7.1. Let $(X,\OO_X)$ be a locally ringed space, and let $f:\mathcal{L}\ra\mathcal{M}$ be a surjective…
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Problem 4: Hartshorne II.5.8
Hartshorne Exercise II.5.8. Again let X be a noetherian scheme, and $\mathcal{F}$ a coherent sheaf on…
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Problem 3: Hartshorne II.5.7
Hartshorne Problem II.5.7. Let X be a noetherian scheme, and let $\mathcal{F}$ be a coherent sheaf.…