Source: wikibot/differential-forms-on-a-riemann-surface
= Differential forms on a Riemann surface
{wiki=Differential_forms_on_a_Riemann_surface}
Differential forms on a Riemann surface are a fundamental concept in the field of complex geometry and algebraic geometry, and they provide a powerful language for analyzing the geometry of Riemann surfaces. A **Riemann surface** is a one-dimensional complex manifold, which can be thought of as a "smoothly varying" collection of complex charts that are compatible with one another.