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Linear system of divisors

In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of curves; the dimension of the linear system corresponds to the number of parameters of the family.

Explore topics related to Linear system of divisors — including Standards, Definitions & Linear systems in birational geometry.

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Overview

Definitions

Examples

Linear systems in birational geometry

Base locus

A map determined by a linear system

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Linear system of divisors

Nodes50
Edges49
Triples11
Avg. degree1.96
Density0.04
Components1

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Linear system of divisors

Top relations

related to Base locus · 5
Linear system of divisors → Consider, Geometrically, Linear, More, The
related to Example · 5
Linear system of divisors → Consider, Gamma, Lefschetz, Then, This
is a · 1
Linear system of divisors → algebraic generalization of the geometric notion of a family of curves

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Important terminology

displaystyle linear system divisors mathcal algebraic base locus variety curves divisor projective mathbb bundle geometry systems map line space complete

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Linear system of divisorsis aalgebraic generalization of the geometric notion of a family of curves0.90text
Linear system of divisorsrelated to Base locusThe0.60section
Linear system of divisorsrelated to Base locusGeometrically0.60section
Linear system of divisorsrelated to Base locusLinear0.60section
Linear system of divisorsrelated to Base locusMore0.60section
Linear system of divisorsrelated to Base locusConsider0.60section
Linear system of divisorsrelated to ExampleConsider0.60section
Linear system of divisorsrelated to ExampleLefschetz0.60section
Linear system of divisorsrelated to ExampleGamma0.60section
Linear system of divisorsrelated to ExampleThis0.60section
Linear system of divisorsrelated to ExampleThen0.60section

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    Min side: 3
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    Researching Linear system of divisors? Use this map to explore Standards, Definitions & Linear systems in birational geometry 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.