I am studying Riemann-Roch theorem but I have some difficulty understanding the concept of divisor of a differential form and the link between differential forms, their divisors and the RRT. Could you suggest some books to understand this topics! Thank you in advance!
2026-03-25 06:28:08.1774420088
Riemann-Roch theorem and divisor of differential forms
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Check out the following sections from Otto Forster's Lectures on Riemann Surfaces:
The latter section gives a gentle exposition of the link between differential forms and their divisors before discussing RRT. An upside of this book compared to Miranda's is the use of sheaf theoretic language, which I think is best introduced in a concrete context like the theory of Riemann surfaces.