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Results tagged with ag.algebraic-geometry
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user 352015
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
0
answers
168
views
Definition of $\mathcal{O}_{\mathcal{X}}$-modules over a stack $\mathcal{X}$
$\newcommand\Sch{\mathrm{Sch}}$For a stack $\mathcal{X}$ in $(\Sch/S)_{\textrm{ét}}$, there is a site $(\Sch/\mathcal{X})_{\textrm{ét}}$ whose objects are $(T,t)$, where $T$ is an étale $X$-scheme and …
6
votes
1
answer
236
views
Contraction of some surfaces over a ring of algebraic integers
The situation:
Let $X$ be a 2 dimensional normal quasi-projective $\mathcal{O}_K$-scheme, where $K$ is an algebraic number field. Assume the following conditions on $X$:
$X$ is integral.
$X_K$ is geo …