Source: wikibot/riemann-surface

= Riemann surface
{wiki=Riemann_surface}

A Riemann surface is a one-dimensional complex manifold, which means it is a space that locally looks like open sets in the complex plane, \\(\\mathbb\{C\}\\). Riemann surfaces provide a natural setting for studying complex-valued functions of complex variables, particularly those that are multi-valued like the complex logarithm or the square root.