Can anyone give me a hint on how to start solving this problem?
Let $\Gamma \subset \mathbb{C}$ be a lattice. Show that the form $dz$ on $\mathbb{C}$ defines a holomorphic $1$-form on $\mathbb{C}/\Gamma$.
Any help appreciated!
Can anyone give me a hint on how to start solving this problem?
Let $\Gamma \subset \mathbb{C}$ be a lattice. Show that the form $dz$ on $\mathbb{C}$ defines a holomorphic $1$-form on $\mathbb{C}/\Gamma$.
Any help appreciated!
Thank you for the information provided. Here are some little hints to get you started:
The solution, if you write it down, should look almost trivial.