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Morphism of schemes

In algebraic geometry, a morphism of schemes generalizes a morphism of algebraic varieties just as a scheme generalizes an algebraic variety. It is, by definition, a morphism in the category of schemes.

Explore topics related to Morphism of schemes — including Types of morphisms, Definition & Morphisms as points.

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Overview

Definition

A morphism as a relative scheme

Affine case

Examples

Types of morphisms

Morphisms as points

Rational map

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Map overview Semantic statistics

Morphism of schemes

Nodes65
Edges64
Triples28
Avg. degree1.97
Density0.030769
Components1

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Morphism of schemes

Top relations

related to Separated · 10
Morphism of schemes → Delta, For, Hausdorff, In, Nevertheless, Sch, Separated, We, X/S, Zariski
related to Definition · 8
Morphism of schemes → Affine, By, If, In, Isomorphisms, Let, Spec, Then
related to Unramified · 5
Morphism of schemes → Omega, Then, U/V, We, X/Y
related to Étale · 3
Morphism of schemes → Examples, The, These
related to Graph morphism · 2
Morphism of schemes → Given, The

Important terminology Word statistics

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Important terminology

displaystyle morphism schemes scheme spec mathbb affine example map morphisms projective operatorname mathcal point flat definition ring algebraic finite spaces

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Morphism of schemesrelated to DefinitionBy0.60section
Morphism of schemesrelated to DefinitionIsomorphisms0.60section
Morphism of schemesrelated to DefinitionLet0.60section
Morphism of schemesrelated to DefinitionIf0.60section
Morphism of schemesrelated to DefinitionSpec0.60section
Morphism of schemesrelated to DefinitionThen0.60section
Morphism of schemesrelated to DefinitionAffine0.60section
Morphism of schemesrelated to DefinitionIn0.60section
Morphism of schemesrelated to Graph morphismGiven0.60section
Morphism of schemesrelated to Graph morphismThe0.60section
Morphism of schemesrelated to SeparatedSeparated0.60section
Morphism of schemesrelated to SeparatedHausdorff0.60section

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    Researching Morphism of schemes? Use this map to explore Types of morphisms, Definition & Morphisms as points and other closely related topics, then follow useful entities and relationships into deeper research. Automatically generated connections are research leads, so verify important facts in reliable sources.