Definition:1-Form/Holomorphic 1-Forms

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Definition

A $C^{\infty} 1$-form $\omega$ on $X$ is called holomorphic if it can be written locally in the form

$f(z)\rd z$

for some complex coordinate $z$ and holomorphic function $f$.

Also see

• Results about $1$-forms can be found here.

Source

• Ben Dribus: Abel’s Theorem () 2. Basic Notions