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Some useful questions and answers in MSE:
Number of $p$-subgroups (generalization of Sylow's theorem)
Correspondence between divisors and line bundles
Localization does not commute with infinite products
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Why does the tautological bundle $\mathcal{O}(-1)$ have no global sections?
If $E/F$ is algebraic, and each $f\in F[x]$ has a root in $E$, then $E$ is algebraically closed
Explicit formula for the discriminant of a quintic
Great answer about projectively normal varieties
a question about Del Pezzo surfaces
Normal bundle of complete intersection
Smooth rational curve of degree 4 contained in a unique quadric
TO DO:
http://math.stackexchange.com/questions/541545/exercise-ii-2-8-on-hartshornes-algebraic-geometry
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