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Canonical bundle

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

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