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Results tagged with grothendieck-topology
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user 121
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Stack associated to Groupoid object in category $\text{Sch}/S$
For any algebraic stack $X$, there is a groupoid in schemes whose fppf stackification is equivalent to $X$. You can construct such a groupoid following the stacks project, by choosing a smooth presen …
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50
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A bestiary of topologies on Sch
The basic answer is essentially as Emerton described in the comment. The most commonly used topologies on schemes are Zariski, Nisnevich, étale, smooth, syntomic, fppf, and fpqc, and this list is tot …
- 45.7k