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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…

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Overview

Informal definition

Morphisms

The prestack of equivalence classes

Stacks associated to prestacks

Advanced semantic analysis

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Map overview Semantic statistics

Prestack

Nodes32
Edges31
Triples20
Avg. degree1.94
Density0.0625
Components1

How this topic connects Entity context

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Prestack

Top relations

related to Definitions · 5
Prestack → Analogously, Given, If, Note, Yoneda
related to Stacks associated to prestacks · 5
Prestack → As, HF, It, The, There
related to Example: the prestack given by an action of an algebraic group · 3
Prestack → Hom, Let, Then
related to External links · 3
Prestack → August, Dai Tamaki, Prestacks
related to Fiber product · 2
Prestack → Let, Then
related to Representable morphisms · 2
Prestack → In, Then

Important terminology Word statistics

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Important terminology

displaystyle category times morphism scheme stack object given prestacks morphisms fiber equivalence definition fibered groupoids objects stacks one operatorname sim

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Prestackrelated to DefinitionsGiven0.60section
Prestackrelated to DefinitionsNote0.60section
Prestackrelated to DefinitionsIf0.60section
Prestackrelated to DefinitionsAnalogously0.60section
Prestackrelated to DefinitionsYoneda0.60section
Prestackrelated to Example: the prestack given by an action of an algebraic groupLet0.60section
Prestackrelated to Example: the prestack given by an action of an algebraic groupThen0.60section
Prestackrelated to Example: the prestack given by an action of an algebraic groupHom0.60section
Prestackrelated to External linksDai Tamaki0.60section
Prestackrelated to External linksAugust0.60section
Prestackrelated to External linksPrestacks0.60section
Prestackrelated to Fiber productLet0.60section

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    Min side: 3
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