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Smooth morphism

In algebraic geometry, a morphism f : X → S {\displaystyle f:X\to S} between schemes is said to be smooth if

Examples, Equivalent definitions & Overview

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Overview

Equivalent definitions

Examples

Non-examples

Formally smooth morphism

Smooth base change

Advanced semantic analysis

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Map overview Semantic statistics

Smooth morphism

Nodes44
Edges43
Triples16
Avg. degree1.95
Density0.045455
Components1

How this topic connects Entity context

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Smooth morphism

Top relations

related to Equivalent definitions · 8
Smooth morphism → For, Let, Locally, Omega, Spec, Then, There, X/S
related to Smooth base change · 4
Smooth morphism → If, Let, Spec, The
related to Examples · 2
Smooth morphism → Ehresmann's, Smooth
related to Vector bundles · 2
Smooth morphism → Every, For

Important terminology Word statistics

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Important terminology

smooth displaystyle morphism variety family flat locally finite field formally point singular étale mathbb called nonsingular base fiber operatorname given

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Smooth morphismrelated to Equivalent definitionsThere0.60section
Smooth morphismrelated to Equivalent definitionsLet0.60section
Smooth morphismrelated to Equivalent definitionsThen0.60section
Smooth morphismrelated to Equivalent definitionsOmega0.60section
Smooth morphismrelated to Equivalent definitionsX/S0.60section
Smooth morphismrelated to Equivalent definitionsFor0.60section
Smooth morphismrelated to Equivalent definitionsSpec0.60section
Smooth morphismrelated to Equivalent definitionsLocally0.60section
Smooth morphismrelated to ExamplesSmooth0.60section
Smooth morphismrelated to ExamplesEhresmann's0.60section
Smooth morphismrelated to Smooth base changeLet0.60section
Smooth morphismrelated to Smooth base changeSpec0.60section

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    Min side: 3
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