Skip to main content
MathOverflow

Return to Question

Changed question mark to period (the sentence is not a question). Changed title to better indicate the question.
Source Link
edit approved Feb 7, 2019 at 9:09
Uriya First
edit approved Feb 7, 2019 at 9:09
Uriya First
  • 2.9k
  • 14
  • 33

Vanishing of higher direct image of finite morphismmorphisms relative to the fppf topology

Let $f:X \to Y$ be a finite morphism of schemes. Let $\mathcal{F}$ be a sheaf of abelian groups on the the etale site of $X$ then we know that $R^{i}f_{*} \mathcal{F} = 0$?. Is this statement also true when $\mathcal{F}$ is sheaf of abelian groups on the fppf site?

Vanishing of higher direct image of finite morphism

Let $f:X \to Y$ be a finite morphism of schemes. Let $\mathcal{F}$ be a sheaf of abelian groups on the the etale site of $X$ then we know that $R^{i}f_{*} \mathcal{F} = 0$? Is this statement also true when $\mathcal{F}$ is sheaf of abelian groups on fppf site?

Vanishing of higher direct image of finite morphisms relative to the fppf topology

Let $f:X \to Y$ be a finite morphism of schemes. Let $\mathcal{F}$ be a sheaf of abelian groups on the the etale site of $X$ then we know that $R^{i}f_{*} \mathcal{F} = 0$. Is this statement also true when $\mathcal{F}$ is sheaf of abelian groups on the fppf site?

Source Link
grok
grok
  • 345
  • 1
  • 4

Vanishing of higher direct image of finite morphism

Let $f:X \to Y$ be a finite morphism of schemes. Let $\mathcal{F}$ be a sheaf of abelian groups on the the etale site of $X$ then we know that $R^{i}f_{*} \mathcal{F} = 0$? Is this statement also true when $\mathcal{F}$ is sheaf of abelian groups on fppf site?