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I am currently reading a paper by Mustata and Popa on the Van de Ven theorem, you can read the paper here. On page 51 there is the following map $$\alpha_\mathbb{C} : \mathrm{Num}(X) \otimes_\mathbb{Z}...

Let $X$ a smooth projective curve over $\mathbb{C}$, $S$ a finite subscheme of $X$. $E$ a vector bundle over $X$ with a divisor $D$. We look at the sections $A:=H^{0}(X,E)$ with $\deg E$ big enough. ...