nLab
fppf site

Context

Topos Theory

topos theory

Background

Toposes

Internal Logic

Topos morphisms

Extra stuff, structure, properties

Cohomology and homotopy

In higher category theory

Theorems

Geometry

Contents

Definition

Fix some scheme SS.

Definition

the fppf-site (over SS) is the site

This appears as (de Jong, def. 27.7.1, def 27.7.6, lemma 27.7.11).

Remark

The abbreviation “fppf” is for fidèlement plat de présentation finie : faithfully flat and of finite presentation.

But notice that it is common practice, as in the above definition, to require only local finite presentability.

fpqc-site \to fppf-site \to syntomic site \to étale site \to Nisnevich site \to Zariski site

References

Chaper 27.7 in

Revised on September 5, 2011 09:40:52 by Urs Schreiber (89.204.153.80)