Books which defines higher differentials in algebraic curves context

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I'm reading an article which mentions a lot about higher differentials:

I don't know what is $\Omega^n(F)$, my background is just Fulton's Algebraic curves book which defines just $\Omega(F)$.

I need a book which explains which defines higher differentials in this context.

I really need help!

Many thanks

Remark

The link for the article I mentioned in this link, the author writes about higher differentials in the chapter 2.

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$\Omega^n(F)=\Lambda^n\Omega(F)$

About differentials see, for example, R. Hartshorne "Algebraic Geometry" (Chapter 2 "Scemes", $\S8$ "Differentials"). Or, for more details, see Igor R. Shafarevish "Basic Algebraic Geometry 1" (Chapter III "Divisors and differential forms", $\S5$ "Differential $p$-forms").