Canonical bundle

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

Over the complex numbers, it is the determinant bundle of holomorphic n-forms on V. This is the dualising object for Serre duality on V. It may equally well be considered as an invertible sheaf.

单词	Canonical bundle
释义	Canonical bundle 英语百科 Canonical bundle In mathematics, the canonical bundle of a non-singular algebraic variety $V$ of dimension $n$ over a field is the line bundle $\,\!\Omega^n = \omega$ , which is the nth exterior power of the cotangent bundle Ω on V. Over the complex numbers, it is the determinant bundle of holomorphic n-forms on V. This is the dualising object for Serre duality on V. It may equally well be considered as an invertible sheaf.
随便看	syndrome endocrine polyglandular的意思 Syndrome,Euthyroid Sick的意思 Syndrome,Exfoliation的意思 Syndrome,Exfoliative的意思 Syndrome,Facial Pain的意思 Syndrome,False Memory的意思 Syndrome,Fanconi的意思 Syndrome,Fisher的意思 Syndrome,Fragile X的意思 Syndrome,Frasier的意思 Syndrome,FRAXA的意思 Syndrome,FRAXE的意思 Syndrome,Frey的意思 syndrome from wind cold evil involving the skin的意思 Syndrome,Fukuhara的意思 Syndrome,Ganser的意思 Syndrome,Gardner的意思 Syndrome,Gasser的意思 Syndrome,Gelineau的意思 Syndrome,General Adaptation的意思 syndrome generator的意思 Syndrome,Gerstmann的意思 Syndrome,Giant Platelet的意思 Syndrome,Goldenhar的意思 Syndrome,Goltz的意思