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Here the base field is the complex numbers $\mathbb{C}$.

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You may want to ask this on MO, where there are more algebraic geometers who might know the answer. – Matt E Jun 11 '11 at 0:58
I can move the question there if you want (Please edit the question so that the body of the question contains the complete question, though) – Mariano Suárez-Alvarez Oct 15 '15 at 7:07

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