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Canonical bundle

In mathematics, the canonical bundle of a non-singular algebraic variety V {\displaystyle V} of dimension n {\displaystyle n} over a field is the line bundle Ω n = ω {\displaystyle \,\!\Omega ^{n}=\omega } , which is the n {\displaystyle n} th exterior power of the cotangent bundle Ω {\displaystyle \Omega } on V {\displaystyle V} .

Measurement, The canonical bundle formula & Canonical maps

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Overview

The adjunction formula

The canonical bundle formula

Singular case

Canonical maps

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Map overview Semantic statistics

Canonical bundle

Nodes76
Edges75
Triples8
Avg. degree1.97
Density0.026316
Components1

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Canonical bundle

Top relations

related to The adjunction formula · 4
Canonical bundle → In, It, Suppose, The
related to Canonical curves · 3
Canonical bundle → Classically, Here, The
is a · 1
Canonical bundle → same as the

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Important terminology

canonical displaystyle bundle curve genus one class divisor map called variety dimension curves fibers projective ring smooth fibration minimal theorem

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Canonical bundleis asame as the0.90text
Canonical bundlerelated to Canonical curvesThe0.60section
Canonical bundlerelated to Canonical curvesHere0.60section
Canonical bundlerelated to Canonical curvesClassically0.60section
Canonical bundlerelated to The adjunction formulaSuppose0.60section
Canonical bundlerelated to The adjunction formulaThe0.60section
Canonical bundlerelated to The adjunction formulaIt0.60section
Canonical bundlerelated to The adjunction formulaIn0.60section

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    Min side: 3
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