ag.algebraic geometry - How the complex conjugation on sheaves of modules is defined?

(Probably some basic question, but I've never worked in the real world.)

Let $Xsubsetmathbb{P}^n_mathbb{C}$ be a complex variety with the complex conjugation $tau:Xto X$. So $tau$ acts on $mathcal{O}_X(k)$ too.

Suppose $F$ is a sheaf of modules with prescribed embedding of modules of its local sections: $F(U)subset mathcal{O}^{oplus d}(U)$.
The complex conjugation acts on $mathcal{O}^{oplus d}(U)$, hence the images of $F(U)$ are defined. Hence the image of $F$ too.

Now should check that this is compatible with exact sequences etc...

Other ways to define the action of complex conjugation?

References?

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