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Results tagged with ag.algebraic-geometry
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user 22295
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
Accepted
$Pic(X)/l=0$ in terms of $H^*_{et}(X,\mu_{l^n})$?
$Pic(X)$ mod $l$ injects into $H^2(X,\mu_l)$ with cokernel the group of elements of order $l$ in the Brauer group of $X$. Depending on your $X$, the Brauer group may be known, or it may be as mysterio …
- 306
1
vote
Accepted
Analytic isomorphisms above two etale maps
This (from SGA 1) is the proof that the functor is fully faithful: We may suppose
that $X$ is connected. To give an $X$-morphism $Y\rightarrow Y^{\prime}$ is to
give a section to $Y\times_{X}Y^{\prime …
- 306