In algebraic geometry, there are two slightly different definitions of an fpqc morphism, both variations of faithfully flat morphisms. Sometimes an fpqc morphism means one that is faithfully flat and quasicompact. This is where the abbreviation fpqc comes from: fpqc stands for the French phrase "fidèlement plat et quasi-compact", meaning "faithfully flat and quasi-compact". However it is more common to define an fpqc morphism of schemes to be a faithfully flat morphism that satisfies the following equivalent conditions: 1. * Every quasi-compact open subset of Y is the image of a quasi-compact open subset of X. 2. * There exists a covering of Y by open affine subschemes such that each is the image of a quasi-compact open subset of X. 3. * Each point has a neighborhood such that is open and is quasi-compact. 4. * Each point has a quasi-compact neighborhood such that is open affine. Examples: An open faithfully flat morphism is fpqc. An fpqc morphism satisfies the following properties: * The composite of fpqc morphisms is fpqc. * A base change of an fpqc morphism is fpqc. * If is a morphism of schemes and if there is an open covering of Y such that the is fpqc, then f is fpqc. * A faithfully flat morphism that is locally of finite presentation (i.e., fppf) is fpqc. * If is an fpqc morphism, a subset of Y is open in Y if and only if its inverse image under f is open in X. (Wikipedia).
Derivative of f(x) = sqrt(ln(x))
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Derivative of f(x) = sqrt(ln(x))
From playlist Calculus 1
Infinite Products of Projective Schemes Don't Exist
In this video we explain why infinite products of projective schemes don't exist as objects in the category of schemes.
From playlist Schemes
Derivative: The Definition of the Derivative
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From playlist Calc 1
Finding the Derivative of f(x) = 5x^2cot(x) - 6csc(7x)
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Derivative of f(x) = 5x^2cot(x) - 6csc(7x)
From playlist Calculus
Ex 9: The derivative of f(x) = ln(ln(5x))
This video shows how to determine the derivative of f(x) = ln(ln(5x)) Search Entire Video Library at www.mathispower4u.wordpress.com
From playlist Differentiation of Logarithmic Functions
Sites/Coverings Examples part3
Important is the fppf topology which is introduced
From playlist Sites, Coverings and Grothendieck Topologies
Étale cohomology lecture 5 - 9/3/2020
Fppf descent part 2, intro to the category of sheaves
From playlist Étale cohomology and the Weil conjectures
Sites/Coverings part 1: Open(X) as a prototype
We introduce the notion of a site. These ideas apply to things like the etale site, the crystalline site, the fppf site, the fpqc site, the h-topology, the de Rham site and many others. All the sites! Moerdijk has a nice explanation here: http://arxiv.org/abs/math/0212266
From playlist Sites, Coverings and Grothendieck Topologies
Definition of derivative in terms of a limit, (def 1)
Definition of derivative, calculus 1 homework solution. #calculus Check out my 100 derivatives: https://youtu.be/AegzQ_dip8k
From playlist Sect 2.7, Definition of Derivative
Yichao Tian - Cohomology of prismatic crystals
Correction: The affiliation of Lei Fu is Tsinghua University. Prismatic crystals are natural analogues of classical crystalline crystals on prismatic sites, which were introduced by Bhatt and Scholze. In this talk, I will explain some general properties such objects on the prismatic site
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
Inverse Trigonometric Derivatives f(x) = ln(2 + arcsin(x))
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From playlist Calculus
Given the graph of f' find the intervals the graph is increasing
Learn how to sketch the graphs of f, f', f'', given any one of its graph. Given a function y = f(x), the derivative of the function y' = f'(x) represents the change in the value of the function with respect to a change in x. f'(x) indicates the slope of points on the curve describing the f
From playlist Applications of the Derivative
Peter Scholze: The pro-etale site
Abstract: We explain our joint work with Bhargav Bhatt, whose goal is to simplify the foundations of ell-adic cohomology by introducing a new site, called the pro-etale site, in which the naive definition of ell-adic sheaves and the six functors is the correct one. The lecture was held wi
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Robert Cass: Perverse mod p sheaves on the affine Grassmannian
28 September 2021 Abstract: The geometric Satake equivalence relates representations of a reductive group to perverse sheaves on an affine Grassmannian. Depending on the intended application, there are several versions of this equivalence for different sheaf theories and versions of the a
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
The integral coefficient geometric Satake equivalence in mixed characteristic - Jize Yu
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The integral coefficient geometric Satake equivalence in mixed characteristic Speaker: Jize Yu Affiliation: Member, School of Mathematics Date: November 16, 2020 For more video please visit http://video.ias
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Given the derivative graph of f' find the relative min
Learn how to sketch the graphs of f, f', f'', given any one of its graph. Given a function y = f(x), the derivative of the function y' = f'(x) represents the change in the value of the function with respect to a change in x. f'(x) indicates the slope of points on the curve describing the f
From playlist Applications of the Derivative
Finding the Derivative of f(x) = (1/4)x^4 + (1/3)x^3 + (1/2)x^2 + 1
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Derivative of f(x) = (1/4)x^4 + (1/3)x^3 + (1/2)x^2 + 1 using the power rule.
From playlist Calculus
Calculus: For a function f(x), we define the derivative f'(x) as the slope of the tangent line at x. Examples are given, and we show that differentiability implies continuity.
From playlist Calculus Pt 1: Limits and Derivatives
Étale cohomology lecture IV - 9/1/2020
Morphisms of sites, fppf descent part 1
From playlist Étale cohomology and the Weil conjectures