Algebraic geometry

Prestack

In algebraic geometry, a prestack F over a category C equipped with some Grothendieck topology is a category together with a functor p: F → C satisfying a certain lifting condition and such that (when the fibers are groupoids) locally isomorphic objects are isomorphic. A stack is a prestack with effective descents, meaning local objects may be patched together to become a global object. Prestacks that appear in nature are typically stacks but some naively constructed prestacks (e.g., groupoid scheme or the prestack of projectivized vector bundles) may not be stacks. Prestacks may be studied on their own or . Since a stack is a prestack, all the results on prestacks are valid for stacks as well. Throughout the article, we work with a fixed base category C; for example, C can be the category of all schemes over some fixed scheme equipped with some Grothendieck topology. (Wikipedia).

Video thumbnail

PRECIPITATE - a quick definition

A quick definition of a precipitate. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.p

From playlist Chemistry glossary

Video thumbnail

Prealgebra Lecture 2.2 Part 1

Prealgebra Lecture 2.2 Part 1: Adding Integers

From playlist Prealgebra Playlist 1

Video thumbnail

PreCalculus - Introduction/Preview of What is in this PreCalculus Series

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce and preview of the content of this Pre-Calculus series.

From playlist Michel van Biezen: PRECALCULUS 1-5 - ALGEBRA REVIEW

Video thumbnail

Introduction to Angles (Precalculus - Trigonometry 1)

An introduction to Angles and their usage from standard position on the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard

From playlist Precalculus - College Algebra/Trigonometry

Video thumbnail

Prealgebra Lecture 1.2 Part 1

Prealgebra Lecture 1.2 Part 1: Place Value and Expanded Form

From playlist Prealgebra Playlist 1

Video thumbnail

What is a Function and How Do We Evaluate It? Precalculus

We introduce what a function is, what a function machine is, and how we evaluate functions. We evaluate functions with negative numbers, positive numbers, fractions, and even a variable! #Precalculus / #Precalc Join this channel to get access to perks: https://www.youtube.com/channel/UCGY

From playlist Precalculus

Video thumbnail

Prealgebra Lecture 2.2 Part 2

Prealgebra Lecture 2.2 Part 2: Adding Integers

From playlist Prealgebra Playlist 1

Video thumbnail

Prealgebra Lecture 4.3: How to Multiply and Divide Fractions

https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.3: Multiplying and Dividing Fractions

From playlist Prealgebra (Full Length Videos)

Video thumbnail

Prealgebra Lecture 2.6: An Introduction to Solving Basic Equations

https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 2.6: An Introduction to Solving Basic Equations

From playlist Prealgebra (Full Length Videos)

Video thumbnail

Camell Kachour - Globular perspective for Grothendieck ∞-topos and Grothendieck (∞,n)-topos

In this short talk we first briefly recall [4] how to build, for each integers n0, monads Tn on the category Glob of globular sets which algebras are globular models of (1; n)-categories, which have the virtue to be weak 1-categories of Penon and thus also to be weak 1-categories of Batani

From playlist Topos à l'IHES

Video thumbnail

Prealgebra Lecture 4.1 Part 1

Prealgebra Lecture 4.1 Part 1: Introduction to Fractions

From playlist Prealgebra Playlist 1

Related pages

Stack (mathematics) | Quotient by an equivalence relation | Equivalence relation | Functor category | Algebraic group | Torsor (algebraic geometry) | Grothendieck topology | Coequalizer | Étale topology | Groupoid | Presheaf (category theory) | Morphism of schemes | Algebraic geometry | Deligne–Mumford stack | Algebraic space | Injective function | Quotient stack | Natural transformation