Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Nef line bundle

In algebraic geometry, a line bundle on a projective variety is nef if it has nonnegative degree on every curve in the variety. The classes of nef line bundles are described by a convex cone, and the possible contractions of the variety correspond to certain faces of the nef cone. In view of the correspondence between line bundles and divisors (built…

Standards, Definition & The nef cone

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Nef line bundle. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Definition

The nef cone

Metric definition of nef line bundles

Examples

Contractions and the nef cone

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Nef line bundle

Nodes64
Edges63
Triples16
Avg. degree1.97
Density0.03125
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Nef line bundle

Top relations

related to Examples · 8
Nef line bundle → David Mumford, Every, For, If, In, It, Jacobian, Picard
related to Metric definition of nef line bundles · 8
Nef line bundle → Even, Following Jean-Pierre Demailly, Hermitian, Let, Michael Schneider, Theta, Thomas Peternell, When

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

nef line displaystyle bundle cone degree curve projective every bundles nonnegative variety contractions equivalent divisor semi-ample curves algebraic convex proper

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Nef line bundlerelated to ExamplesIf0.60section
Nef line bundlerelated to ExamplesFor0.60section
Nef line bundlerelated to ExamplesEvery0.60section
Nef line bundlerelated to ExamplesPicard0.60section
Nef line bundlerelated to ExamplesJacobian0.60section
Nef line bundlerelated to ExamplesDavid Mumford0.60section
Nef line bundlerelated to ExamplesIt0.60section
Nef line bundlerelated to ExamplesIn0.60section
Nef line bundlerelated to Metric definition of nef line bundlesLet0.60section
Nef line bundlerelated to Metric definition of nef line bundlesHermitian0.60section
Nef line bundlerelated to Metric definition of nef line bundlesFollowing Jean-Pierre Demailly0.60section
Nef line bundlerelated to Metric definition of nef line bundlesThomas Peternell0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.