In Griffiths and Harris's 'Principles of Algebraic Geometry', the authors use the symbol $\bar{\nabla}$ to prove the Weitzenbock identity. But they never show the definition of the symbol. What is the meaning of this symbol and where can I find a reference? Thanks.
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2Can you show us the passage where it appears? – Sean Roberson Aug 05 '17 at 04:07
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the bar would be complex conjugate. The nabla a covariant derivative – Noé AC Aug 05 '17 at 04:25
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Which page of G&H did you see $\overline{\nabla}$ without definition ?
p.97 of G&H defines it.
$\overline{\nabla} = \overline{\partial}+A^0$
Noé AC
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Yes, I see the identity. But I thought it should be a property rather than a definition considering the name $\bar{z}$-covariant derivative. Thanks. – MiGang Aug 05 '17 at 08:22