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Differential form

Sheaf of smooth differential forms

{title2=$\mathcal A^{p,q}$}

On a <complex manifold>, this <sheaf> consists of smooth <differential forms of type (p, q)>. The <type decomposition of the complexified tangent bundle> gives $\mathcal A^k=\bigoplus_{p+q=k}\mathcal A^{p,q}$.

Sheaf of differential forms of type (p, q)

Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 17 / 4 / Solution

Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 18 / 2 / a / Solution

Sheaf of differential forms of type (p, q) ( $A^{p, q}$ )

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Sheaf of differential forms of type (p, q) (Ap,q)

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Sheaf of differential forms of type (p, q) ( $A^{p, q}$ )

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