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Results tagged with grothendieck-topology
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user 5498
3
votes
Accepted
Sections of morphisms up to fppf covering
The answer is negative; here is a counterexample. Let $S = \mathrm{Spec}(R)$ be the spectrum of a DVR whose fraction field of characteristic $0$ (to fulfill your requirements) and take $X := \eta \sqc …
- 5,019
19
votes
Accepted
Torsors and the fpqc topology
One way to define an fppf (or etale, or...) torsor is to require that $G \times_S P \rightarrow P \times_S P$ given by $(g, p) \mapsto (gp, p)$ is an isomorphism and that $P$ has a section fppf (resp. …
- 5,019