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Morphism of algebraic varieties

In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials. It is also called a regular map. A morphism from an algebraic variety to the affine line is also called a regular function. A regular map whose inverse is also regular is called biregular, and the biregular maps are the…

Properties, Degree of a finite morphism & Definition

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Overview

Definition

Regular functions

Comparison with a morphism of schemes

Examples

Properties

Fibers of a morphism

Degree of a finite morphism

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Morphism of algebraic varieties

Nodes79
Edges78
Triples4
Avg. degree1.97
Density0.025316
Components1

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Morphism of algebraic varieties

Top relations

related to Fibers of a morphism · 4
Morphism of algebraic varieties → Let, The, Then, Theorem

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Important terminology

displaystyle varieties morphism regular affine algebraic function variety projective also rational map ring open functions since space coordinate homogeneous maps

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Morphism of algebraic varietiesrelated to Fibers of a morphismThe0.60section
Morphism of algebraic varietiesrelated to Fibers of a morphismTheorem0.60section
Morphism of algebraic varietiesrelated to Fibers of a morphismLet0.60section
Morphism of algebraic varietiesrelated to Fibers of a morphismThen0.60section

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